{"id":21140661,"url":"https://github.com/stdlib-js/math-base-special","last_synced_at":"2025-07-09T04:31:31.190Z","repository":{"id":41442851,"uuid":"362581533","full_name":"stdlib-js/math-base-special","owner":"stdlib-js","description":"Standard library base special math functions.","archived":false,"fork":false,"pushed_at":"2025-06-30T02:21:00.000Z","size":26578,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"main","last_synced_at":"2025-06-30T02:39:34.551Z","etag":null,"topics":["javascript","lib","library","math","mathematics","node","node-js","nodejs","standard","stdlib"],"latest_commit_sha":null,"homepage":"https://github.com/stdlib-js/stdlib","language":"JavaScript","has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/stdlib-js.png","metadata":{"files":{"readme":"README.md","changelog":"CHANGELOG.md","contributing":"CONTRIBUTING.md","funding":null,"license":"LICENSE","code_of_conduct":"CODE_OF_CONDUCT.md","threat_model":null,"audit":null,"citation":"CITATION.cff","codeowners":null,"security":"SECURITY.md","support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null},"funding":{"github":["stdlib-js"],"open_collective":"stdlib","tidelift":"npm/@stdlib/stdlib"}},"created_at":"2021-04-28T19:17:16.000Z","updated_at":"2025-06-30T01:50:57.000Z","dependencies_parsed_at":"2023-10-03T07:13:34.271Z","dependency_job_id":"7411ad03-839c-4c6e-b340-94d2c3d3ec8e","html_url":"https://github.com/stdlib-js/math-base-special","commit_stats":{"total_commits":132,"total_committers":2,"mean_commits":66.0,"dds":"0.030303030303030276","last_synced_commit":"b03f3bf0c057d0c20f2e0d047579c4085e04a213"},"previous_names":[],"tags_count":18,"template":false,"template_full_name":null,"purl":"pkg:github/stdlib-js/math-base-special","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fmath-base-special","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fmath-base-special/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fmath-base-special/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fmath-base-special/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stdlib-js","download_url":"https://codeload.github.com/stdlib-js/math-base-special/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fmath-base-special/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":262701555,"owners_count":23350610,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["javascript","lib","library","math","mathematics","node","node-js","nodejs","standard","stdlib"],"created_at":"2024-11-20T07:17:06.617Z","updated_at":"2025-07-09T04:31:31.180Z","avatar_url":"https://github.com/stdlib-js.png","language":"JavaScript","funding_links":["https://github.com/sponsors/stdlib-js","https://opencollective.com/stdlib","https://tidelift.com/funding/github/npm/@stdlib/stdlib"],"categories":[],"sub_categories":[],"readme":"\u003c!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n--\u003e\n\n\n\u003cdetails\u003e\n  \u003csummary\u003e\n    About stdlib...\n  \u003c/summary\u003e\n  \u003cp\u003eWe believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.\u003c/p\u003e\n  \u003cp\u003eThe library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.\u003c/p\u003e\n  \u003cp\u003eWhen you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.\u003c/p\u003e\n  \u003cp\u003eTo join us in bringing numerical computing to the web, get started by checking us out on \u003ca href=\"https://github.com/stdlib-js/stdlib\"\u003eGitHub\u003c/a\u003e, and please consider \u003ca href=\"https://opencollective.com/stdlib\"\u003efinancially supporting stdlib\u003c/a\u003e. We greatly appreciate your continued support!\u003c/p\u003e\n\u003c/details\u003e\n\n# Special Functions\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] \u003c!-- [![dependencies][dependencies-image]][dependencies-url] --\u003e\n\n\u003e Base (i.e., lower-level) special math functions.\n\n\u003csection class=\"installation\"\u003e\n\n## Installation\n\n```bash\nnpm install @stdlib/math-base-special\n```\n\nAlternatively,\n\n-   To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).\n-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).\n-   For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).\n\nThe [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.\n\nTo view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.\n\n\u003c/section\u003e\n\n\u003csection class=\"usage\"\u003e\n\n## Usage\n\n```javascript\nvar special = require( '@stdlib/math-base-special' );\n```\n\n#### special\n\nNamespace for \"base\" (i.e., lower-level) special math functions.\n\n```javascript\nvar fcns = special;\n// returns {...}\n```\n\n### Exponential \u0026 Logarithmic Functions\n\n\u003c!-- \u003ctoc pattern=\"+(*log*|ln|exp*|*pow*)\" ignore=\"logit\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`exp( x )`][@stdlib/math/base/special/exp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enatural exponential function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`exp10( x )`][@stdlib/math/base/special/exp10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ebase `10` exponential function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`exp2( x )`][@stdlib/math/base/special/exp2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ebase `2` exponential function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`expit( x )`][@stdlib/math/base/special/expit]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the standard logistic function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`expm1( x )`][@stdlib/math/base/special/expm1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `exp(x) - 1`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`expm1rel( x )`][@stdlib/math/base/special/expm1rel]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the relative error exponential.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kernelLog1p( f )`][@stdlib/math/base/special/kernel-log1p]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ln( x )`][@stdlib/math/base/special/ln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the natural logarithm of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log( x, b )`][@stdlib/math/base/special/log]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the base `b` logarithm of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log10( x )`][@stdlib/math/base/special/log10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the common logarithm.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log1mexp( x )`][@stdlib/math/base/special/log1mexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluates the natural logarithm of `1-exp(-|x|)`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log1p( x )`][@stdlib/math/base/special/log1p]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the natural logarithm of `1+x`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log1pexp( x )`][@stdlib/math/base/special/log1pexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluates the natural logarithm of `1+exp(x)`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log1pmx( x )`][@stdlib/math/base/special/log1pmx]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate `ln(1+x) - x`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`log2( x )`][@stdlib/math/base/special/log2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the binary logarithm.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`logaddexp( x, y )`][@stdlib/math/base/special/logaddexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluates the natural logarithm of `exp(x) + exp(y)`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`pow( base, exponent )`][@stdlib/math/base/special/pow]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eexponential function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`powm1( b, x )`][@stdlib/math/base/special/powm1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate `bˣ - 1`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`xlog1py( x, y )`][@stdlib/math/base/special/xlog1py]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `x * ln(y+1)` so that the result is `0` if `x = 0`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`xlogy( x, y )`][@stdlib/math/base/special/xlogy]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `x * ln(y)` so that the result is `0` if `x = 0`.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n### Trigonometric Functions\n\n\u003c!-- \u003ctoc pattern=\"*+(sin|cos|tan)*\" ignore=\"+(kernel-sin|kernel-cos|kernel-tan)\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`acos( x )`][@stdlib/math/base/special/acos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acosd( x )`][@stdlib/math/base/special/acosd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosine in degrees of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acosdf( x )`][@stdlib/math/base/special/acosdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosine (in degrees) of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acosf( x )`][@stdlib/math/base/special/acosf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosine of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acosh( x )`][@stdlib/math/base/special/acosh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic arccosine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acovercos( x )`][@stdlib/math/base/special/acovercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse coversed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acoversin( x )`][@stdlib/math/base/special/acoversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse coversed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ahavercos( x )`][@stdlib/math/base/special/ahavercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse half-value versed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ahaversin( x )`][@stdlib/math/base/special/ahaversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse half-value versed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asin( x )`][@stdlib/math/base/special/asin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asind( x )`][@stdlib/math/base/special/asind]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsine (in degrees) of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asindf( x )`][@stdlib/math/base/special/asindf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsine (in degrees) of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asinf( x )`][@stdlib/math/base/special/asinf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsine of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asinh( x )`][@stdlib/math/base/special/asinh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic arcsine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`atan( x )`][@stdlib/math/base/special/atan]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arctangent of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`atan2( y, x )`][@stdlib/math/base/special/atan2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`atand( x )`][@stdlib/math/base/special/atand]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arctangent in degrees of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`atanf( x )`][@stdlib/math/base/special/atanf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arctangent of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`atanh( x )`][@stdlib/math/base/special/atanh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic arctangent of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`avercos( x )`][@stdlib/math/base/special/avercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse versed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`aversin( x )`][@stdlib/math/base/special/aversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse versed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cos( x )`][@stdlib/math/base/special/cos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cosine of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cosd( x )`][@stdlib/math/base/special/cosd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecomputes the cosine of an angle measured in degrees.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cosh( x )`][@stdlib/math/base/special/cosh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic cosine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cosm1( x )`][@stdlib/math/base/special/cosm1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `cos(x) - 1`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cospi( x )`][@stdlib/math/base/special/cospi]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cosine of a number times π.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`covercos( x )`][@stdlib/math/base/special/covercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the coversed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`coversin( x )`][@stdlib/math/base/special/coversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the coversed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`hacovercos( x )`][@stdlib/math/base/special/hacovercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the half-value coversed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`hacoversin( x )`][@stdlib/math/base/special/hacoversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the half-value coversed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`havercos( x )`][@stdlib/math/base/special/havercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the half-value versed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`haversin( x )`][@stdlib/math/base/special/haversin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the half-value versed sine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`risingFactorial( x, n )`][@stdlib/math/base/special/rising-factorial]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the rising factorial.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sin( x )`][@stdlib/math/base/special/sin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the sine of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sinc( x )`][@stdlib/math/base/special/sinc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cardinal sine of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sincos( x )`][@stdlib/math/base/special/sincos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esimultaneously compute the sine and cosine of an angle measured in radians.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sincospi()`][@stdlib/math/base/special/sincospi]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esimultaneously compute the sine and cosine of a number times π.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sinh( x )`][@stdlib/math/base/special/sinh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic sine of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sinpi( x )`][@stdlib/math/base/special/sinpi]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the sine of a number times π.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`tan( x )`][@stdlib/math/base/special/tan]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the tangent of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`tand( x )`][@stdlib/math/base/special/tand]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecomputes the tangent of an angle measured in degrees.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`tanh( x )`][@stdlib/math/base/special/tanh]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic tangent of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`vercos( x )`][@stdlib/math/base/special/vercos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the versed cosine.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`versin( x )`][@stdlib/math/base/special/versin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the versed sine.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n### Bessel Functions\n\n\u003c!-- \u003ctoc pattern=\"*bessel*\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`besselj0( x )`][@stdlib/math/base/special/besselj0]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Bessel function of the first kind of order zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`besselj1( x )`][@stdlib/math/base/special/besselj1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Bessel function of the first kind of order one.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`bessely0( x )`][@stdlib/math/base/special/bessely0]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Bessel function of the second kind of order zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`bessely1( x )`][@stdlib/math/base/special/bessely1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Bessel function of the second kind of order one.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n### Absolute Value and Rounding Functions\n\n\u003c!-- \u003ctoc pattern=\"*+(abs|ceil|floor|clamp|trunc|round|signum)*\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`abs( x )`][@stdlib/math/base/special/abs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the absolute value of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`abs2( x )`][@stdlib/math/base/special/abs2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the squared absolute value of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`abs2f( x )`][@stdlib/math/base/special/abs2f]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the squared absolute value of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`absf( x )`][@stdlib/math/base/special/absf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the absolute value of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cabs( z )`][@stdlib/math/base/special/cabs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the absolute value of a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cabs2( z )`][@stdlib/math/base/special/cabs2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the squared absolute value of a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cabs2f( z )`][@stdlib/math/base/special/cabs2f]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the squared absolute value of a single-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cabsf( z )`][@stdlib/math/base/special/cabsf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the absolute value of a single-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cceil( z )`][@stdlib/math/base/special/cceil]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a double-precision complex floating-point number toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cceilf( z )`][@stdlib/math/base/special/cceilf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a single-precision complex floating-point number toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cceiln( z, n )`][@stdlib/math/base/special/cceiln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceil( x )`][@stdlib/math/base/special/ceil]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceil10( x )`][@stdlib/math/base/special/ceil10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of 10 toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceil2( x )`][@stdlib/math/base/special/ceil2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of two toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceilb( x, n, b )`][@stdlib/math/base/special/ceilb]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of b^n toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceilf( x )`][@stdlib/math/base/special/ceilf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a single-precision floating-point number toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceiln( x, n )`][@stdlib/math/base/special/ceiln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of 10^n toward positive infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ceilsd( x, n, b )`][@stdlib/math/base/special/ceilsd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest number toward positive infinity with N significant figures.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cfloor( z )`][@stdlib/math/base/special/cfloor]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision complex floating-point number toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cfloorn( z, n )`][@stdlib/math/base/special/cfloorn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`clamp( v, min, max )`][@stdlib/math/base/special/clamp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003erestrict a double-precision floating-point number to a specified range.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`clampf( v, min, max )`][@stdlib/math/base/special/clampf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003erestrict a single-precision floating-point number to a specified range.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cround( z )`][@stdlib/math/base/special/cround]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a double-precision complex floating-point number to the nearest integer.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`croundn( z, n )`][@stdlib/math/base/special/croundn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround each component of a double-precision complex floating-point number to the nearest multiple of `10^n`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`csignum( z )`][@stdlib/math/base/special/csignum]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the signum function of a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floor( x )`][@stdlib/math/base/special/floor]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floor10( x )`][@stdlib/math/base/special/floor10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of 10 toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floor2( x )`][@stdlib/math/base/special/floor2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of two toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floorb( x, n, b )`][@stdlib/math/base/special/floorb]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of b^n toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floorf( x )`][@stdlib/math/base/special/floorf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a single-precision floating-point numeric value toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floorn( x, n )`][@stdlib/math/base/special/floorn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number to the nearest multiple of 10^n toward negative infinity.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`floorsd( x, n, b )`][@stdlib/math/base/special/floorsd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest number toward negative infinity with N significant figures.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`labs( x )`][@stdlib/math/base/special/labs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute an absolute value of a signed 32-bit integer.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`maxabs( x, y )`][@stdlib/math/base/special/maxabs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the maximum absolute value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`maxabsn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/maxabsn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the maximum absolute value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minabs( x, y )`][@stdlib/math/base/special/minabs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum absolute value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minabsn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/minabsn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum absolute value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minmaxabs( x, y )`][@stdlib/math/base/special/minmaxabs]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum and maximum absolute values.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minmaxabsn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/minmaxabsn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum and maximum absolute values.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`round( x )`][@stdlib/math/base/special/round]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest integer.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`round10( x )`][@stdlib/math/base/special/round10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of 10 on a linear scale.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`round2( x )`][@stdlib/math/base/special/round2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of two on a linear scale.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`roundb( x, n, b )`][@stdlib/math/base/special/roundb]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of b^n on a linear scale.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`roundn( x, n )`][@stdlib/math/base/special/roundn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number to the nearest multiple of 10^n.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`roundsd( x, n[, b] )`][@stdlib/math/base/special/roundsd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number to the nearest value with `n` significant figures.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`signum( x )`][@stdlib/math/base/special/signum]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esignum function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`signumf( x )`][@stdlib/math/base/special/signumf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esignum function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`trunc( x )`][@stdlib/math/base/special/trunc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a double-precision floating-point number toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`trunc10( x )`][@stdlib/math/base/special/trunc10]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of 10 toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`trunc2( x )`][@stdlib/math/base/special/trunc2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest power of two toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`truncb( x, n, b )`][@stdlib/math/base/special/truncb]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of b^n toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`truncf( x )`][@stdlib/math/base/special/truncf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a single-precision floating-point number toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`truncn( x, n )`][@stdlib/math/base/special/truncn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest multiple of 10^n toward zero.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`truncsd( x, n, b )`][@stdlib/math/base/special/truncsd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eround a numeric value to the nearest number toward zero with `n` significant figures.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n### Other Special Functions\n\n\u003c!-- \u003ctoc ignore=\"*bessel*\" ignore=\"*+(sin|cos|tan)*\" ignore=\"+(*log*|ln|exp*|*pow*)\" ignore=\"*+(abs|ceil|floor|clamp|trunc|round|signum)*\" ignore=\"+(gamma-delta-ratio|gamma-lanczos-sum*|rempio2|kernel-*)\" ignore=\"*fast*\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`acot( x )`][@stdlib/math/base/special/acot]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse cotangent of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acotd( x )`][@stdlib/math/base/special/acotd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccotangent in degrees of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acotdf( x )`][@stdlib/math/base/special/acotdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccotangent in degrees of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acotf( x )`][@stdlib/math/base/special/acotf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse cotangent of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acoth( x )`][@stdlib/math/base/special/acoth]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse hyperbolic cotangent of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acsc( x )`][@stdlib/math/base/special/acsc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosecant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acscd( x )`][@stdlib/math/base/special/acscd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosecant in degrees of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acscdf( x )`][@stdlib/math/base/special/acscdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosecant (in degrees) of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acscf( x )`][@stdlib/math/base/special/acscf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arccosecant of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`acsch( x )`][@stdlib/math/base/special/acsch]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic arccosecant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asec( x )`][@stdlib/math/base/special/asec]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse (arc) secant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asecd( x )`][@stdlib/math/base/special/asecd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsecant (in degrees) of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asecdf( x )`][@stdlib/math/base/special/asecdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the arcsecant (in degrees) of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asecf( x )`][@stdlib/math/base/special/asecf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse (arc) secant of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`asech( x )`][@stdlib/math/base/special/asech]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic arcsecant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`bernoulli( n )`][@stdlib/math/base/special/bernoulli]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth Bernoulli number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`beta( x, y )`][@stdlib/math/base/special/beta]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ebeta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`betainc( x, a, b[, regularized[, upper]] )`][@stdlib/math/base/special/betainc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eincomplete beta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`betaincinv( p, a, b[, upper] )`][@stdlib/math/base/special/betaincinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003einverse of the incomplete beta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`betaln( x, y )`][@stdlib/math/base/special/betaln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enatural logarithm of the beta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`binet( x )`][@stdlib/math/base/special/binet]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate Binet's formula extended to real numbers.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`binomcoef( n, k )`][@stdlib/math/base/special/binomcoef]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the binomial coefficient.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`binomcoefln( n, k )`][@stdlib/math/base/special/binomcoefln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the natural logarithm of the binomial coefficient.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`boxcox( x, lambda )`][@stdlib/math/base/special/boxcox]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a one-parameter Box-Cox transformation.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`boxcox1p( x, lambda )`][@stdlib/math/base/special/boxcox1p]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a one-parameter Box-Cox transformation of `1+x`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`boxcox1pinv( y, lambda )`][@stdlib/math/base/special/boxcox1pinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse of a one-parameter Box-Cox transformation for `1+x`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`boxcoxinv( y, lambda )`][@stdlib/math/base/special/boxcoxinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse of a one-parameter Box-Cox transformation.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cbrt( x )`][@stdlib/math/base/special/cbrt]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cube root of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cbrtf( x )`][@stdlib/math/base/special/cbrtf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cube root of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ccis( z )`][@stdlib/math/base/special/ccis]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the cis function for a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cexp( z )`][@stdlib/math/base/special/cexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the exponential function for a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cflipsign( z, y )`][@stdlib/math/base/special/cflipsign]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a double-precision complex floating-point number with the same magnitude as `z` and the sign of `y*z`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cflipsignf( z, y )`][@stdlib/math/base/special/cflipsignf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a single-precision complex floating-point number with the same magnitude as `z` and the sign of `y*z`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cinv( z )`][@stdlib/math/base/special/cinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse of a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cinvf( z )`][@stdlib/math/base/special/cinvf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the inverse of a single-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`copysign( x, y )`][@stdlib/math/base/special/copysign]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a double-precision floating-point number with the magnitude of `x` and the sign of `y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`copysignf( x, y )`][@stdlib/math/base/special/copysignf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a single-precision floating-point number with the magnitude of `x` and the sign of `y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cot( x )`][@stdlib/math/base/special/cot]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the cotangent of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cotd( x )`][@stdlib/math/base/special/cotd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cotangent of an angle measured in degrees.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`coth( x )`][@stdlib/math/base/special/coth]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic cotangent of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cphase( z )`][@stdlib/math/base/special/cphase]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the argument of a double-precision complex floating-point number in radians.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cpolar( z )`][@stdlib/math/base/special/cpolar]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the absolute value and phase of a double-precision complex floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`csc( x )`][@stdlib/math/base/special/csc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the cosecant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`cscd( x )`][@stdlib/math/base/special/cscd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cosecant of a degree.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`csch( x )`][@stdlib/math/base/special/csch]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hyperbolic cosecant of a number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`deg2rad( x )`][@stdlib/math/base/special/deg2rad]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003econvert an angle from degrees to radians.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`deg2radf( x )`][@stdlib/math/base/special/deg2radf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003econvert an angle from degrees to radians (single-precision).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`digamma( x )`][@stdlib/math/base/special/digamma]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003edigamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`diracDelta( x )`][@stdlib/math/base/special/dirac-delta]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the Dirac delta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`eta( s )`][@stdlib/math/base/special/dirichlet-eta]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003edirichlet eta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ellipe( m )`][@stdlib/math/base/special/ellipe]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the complete elliptic integral of the second kind.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ellipj( u, m )`][@stdlib/math/base/special/ellipj]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Jacobi elliptic functions sn, cn, and dn.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ellipk( m )`][@stdlib/math/base/special/ellipk]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the complete elliptic integral of the first kind.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`erf( x )`][@stdlib/math/base/special/erf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eerror function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`erfc( x )`][@stdlib/math/base/special/erfc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecomplementary error function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`erfcinv( x )`][@stdlib/math/base/special/erfcinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003einverse complementary error function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`erfcx( x )`][@stdlib/math/base/special/erfcx]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003escaled complementary error function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`erfinv( x )`][@stdlib/math/base/special/erfinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003einverse error function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`factorial( x )`][@stdlib/math/base/special/factorial]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003efactorial function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`factorial2( n )`][@stdlib/math/base/special/factorial2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003edouble factorial function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`factorialln( x )`][@stdlib/math/base/special/factorialln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enatural logarithm of the factorial function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fallingFactorial( x, n )`][@stdlib/math/base/special/falling-factorial]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the falling factorial.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fibonacciIndex( F )`][@stdlib/math/base/special/fibonacci-index]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Fibonacci number index.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fibonacci( n )`][@stdlib/math/base/special/fibonacci]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth Fibonacci number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`flipsign( x, y )`][@stdlib/math/base/special/flipsign]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a double-precision floating-point number with the magnitude of `x` and the sign of `x*y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`flipsignf( x, y )`][@stdlib/math/base/special/flipsignf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn a single-precision floating-point number with the magnitude of `x` and the sign of `x*y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fresnel( x )`][@stdlib/math/base/special/fresnel]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Fresnel integrals S(x) and C(x).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fresnelc( x )`][@stdlib/math/base/special/fresnelc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Fresnel integral C(x).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`fresnels( x )`][@stdlib/math/base/special/fresnels]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Fresnel integral S(x).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`frexp( x )`][@stdlib/math/base/special/frexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esplit a double-precision floating-point number into a normalized fraction and an integer power of two.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gamma( x )`][@stdlib/math/base/special/gamma]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003egamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gamma1pm1( x )`][@stdlib/math/base/special/gamma1pm1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `gamma(x+1) - 1`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gammainc( x, s[, regularized[, upper ]] )`][@stdlib/math/base/special/gammainc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eincomplete gamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gammaincinv( p, s[, upper ] )`][@stdlib/math/base/special/gammaincinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003einverse of incomplete gamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gammaln( x )`][@stdlib/math/base/special/gammaln]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enatural logarithm of the gamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gammasgn( x )`][@stdlib/math/base/special/gammasgn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003esign of the gamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`gcd( a, b )`][@stdlib/math/base/special/gcd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the greatest common divisor (gcd).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`heaviside( x[, continuity] )`][@stdlib/math/base/special/heaviside]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the Heaviside function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`hypot( x, y )`][@stdlib/math/base/special/hypot]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hypotenuse avoiding overflow and underflow.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`hypotf( x, y )`][@stdlib/math/base/special/hypotf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the hypotenuse avoiding overflow and underflow (single-precision).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`inv( x )`][@stdlib/math/base/special/inv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the multiplicative inverse of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`invf( x )`][@stdlib/math/base/special/invf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the multiplicative inverse of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kroneckerDelta( i, j )`][@stdlib/math/base/special/kronecker-delta]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the Kronecker delta.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kroneckerDeltaf( i, j )`][@stdlib/math/base/special/kronecker-deltaf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the Kronecker delta (single-precision).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`lcm( a, b )`][@stdlib/math/base/special/lcm]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the least common multiple (lcm).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ldexp( frac, exp )`][@stdlib/math/base/special/ldexp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003emultiply a double-precision floating-point number by an integer power of two.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`lucas( n )`][@stdlib/math/base/special/lucas]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth Lucas number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`max( x, y )`][@stdlib/math/base/special/max]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the maximum value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`maxn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/maxn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the maximum value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`min( x, y )`][@stdlib/math/base/special/min]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minmax( x, y )`][@stdlib/math/base/special/minmax]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum and maximum values.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minmaxn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/minmaxn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum and maximum values.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`minn( [x[, y[, ...args]]] )`][@stdlib/math/base/special/minn]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the minimum value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`modf( x )`][@stdlib/math/base/special/modf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003edecompose a double-precision floating-point number into integral and fractional parts.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`negafibonacci( n )`][@stdlib/math/base/special/negafibonacci]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth negaFibonacci number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`negalucas( n )`][@stdlib/math/base/special/negalucas]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth negaLucas number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`nonfibonacci( n )`][@stdlib/math/base/special/nonfibonacci]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth non-Fibonacci number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`pdiff( x, y )`][@stdlib/math/base/special/pdiff]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the positive difference between `x` and `y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`pdifff( x, y )`][@stdlib/math/base/special/pdifff]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ereturn the positive difference between `x` and `y`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`polygamma( n, x )`][@stdlib/math/base/special/polygamma]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003epolygamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rad2deg( x )`][@stdlib/math/base/special/rad2deg]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003econvert an angle from radians to degrees.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rad2degf( x )`][@stdlib/math/base/special/rad2degf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003econvert an angle from radians to degrees (single-precision).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ramp( x )`][@stdlib/math/base/special/ramp]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the ramp function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rampf( x )`][@stdlib/math/base/special/rampf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the ramp function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rcbrt( x )`][@stdlib/math/base/special/rcbrt]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the reciprocal of the principal cube root of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rcbrtf( x )`][@stdlib/math/base/special/rcbrtf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the reciprocal of the principal cube root of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`zeta( s )`][@stdlib/math/base/special/riemann-zeta]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eriemann zeta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rsqrt( x )`][@stdlib/math/base/special/rsqrt]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the reciprocal of the principal square root of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rsqrtf( x )`][@stdlib/math/base/special/rsqrtf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the reciprocal of the principal square root of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`secd( x )`][@stdlib/math/base/special/secd]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the secant of an angle measured in degrees.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sici( x )`][@stdlib/math/base/special/sici]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the sine and cosine integrals.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`spence( x )`][@stdlib/math/base/special/spence]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003espence's function, also known as the dilogarithm.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sqrt( x )`][@stdlib/math/base/special/sqrt]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the principal square root of a double-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sqrt1pm1( x )`][@stdlib/math/base/special/sqrt1pm1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `sqrt( 1 + x ) - 1`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sqrtf( x )`][@stdlib/math/base/special/sqrtf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the principal square root of a single-precision floating-point number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`sqrtpi( x )`][@stdlib/math/base/special/sqrtpi]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the principal square root of the product of π and a positive number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`tribonacci( n )`][@stdlib/math/base/special/tribonacci]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the nth Tribonacci number.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`trigamma( x )`][@stdlib/math/base/special/trigamma]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003etrigamma function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`wrap( v, min, max )`][@stdlib/math/base/special/wrap]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ewrap a value to the half-open interval `[min,max)`.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nFast algorithms of various special functions, which trade accuracy for increased speed, are available in the following sub-namespace:\n\n\u003c!-- \u003ctoc pattern=\"*fast*\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`fast`][@stdlib/math/base/special/fast]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003efast math special functions.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nFinally, the namespace exports the following kernel functions, which are mainly used internally. Beware that they may only be applicable for input values inside a certain number range and/or may not work as expected if not all arguments satisfy the parameter requirements.\n\n\u003c!-- \u003ctoc pattern=\"+(gammaDeltaRatio|gammaLanczosSum|gammaLanczosSumExpGScaled|rempio2|kernel-*)\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`kernelBetainc( x, a, b, regularized, upper )`][@stdlib/math/base/special/kernel-betainc]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eincomplete beta function and its first derivative.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kernelBetaincinv( a, b, p, q )`][@stdlib/math/base/special/kernel-betaincinv]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003einverse of the lower incomplete beta function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kernelCos( x, y )`][@stdlib/math/base/special/kernel-cos]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the cosine of a double-precision floating-point number on `[-π/4, π/4]`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kernelSin( x, y )`][@stdlib/math/base/special/kernel-sin]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the sine of a double-precision floating-point number on `[-π/4, π/4]`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kernelTan( x, y, k )`][@stdlib/math/base/special/kernel-tan]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the tangent of a double-precision floating-point number on `[-π/4, π/4]`.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`rempio2( x, y )`][@stdlib/math/base/special/rempio2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute `x - nπ/2 = r`.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- TODO: better examples --\u003e\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar objectKeys = require( '@stdlib/utils-keys' );\nvar special = require( '@stdlib/math-base-special' );\n\nconsole.log( objectKeys( special ) );\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --\u003e\n\n\u003csection class=\"related\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.related --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\n\u003csection class=\"main-repo\" \u003e\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright \u0026copy; 2016-2025. The Stdlib [Authors][stdlib-authors].\n\n\u003c/section\u003e\n\n\u003c!-- /.stdlib --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"links\"\u003e\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special.svg\n[npm-url]: https://npmjs.org/package/@stdlib/math-base-special\n\n[test-image]: https://github.com/stdlib-js/math-base-special/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/math-base-special/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/math-base-special.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/math-base-special/main\n\n--\u003e\n\n[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg\n[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/math-base-special/tree/deno\n[deno-readme]: https://github.com/stdlib-js/math-base-special/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/math-base-special/tree/umd\n[umd-readme]: https://github.com/stdlib-js/math-base-special/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/math-base-special/tree/esm\n[esm-readme]: https://github.com/stdlib-js/math-base-special/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/math-base-special/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special/main/LICENSE\n\n\u003c!-- \u003ctoc-links\u003e --\u003e\n\n[@stdlib/math/base/special/kernel-betainc]: https://github.com/stdlib-js/math-base-special-kernel-betainc\n\n[@stdlib/math/base/special/kernel-betaincinv]: https://github.com/stdlib-js/math-base-special-kernel-betaincinv\n\n[@stdlib/math/base/special/kernel-cos]: https://github.com/stdlib-js/math-base-special-kernel-cos\n\n[@stdlib/math/base/special/kernel-sin]: https://github.com/stdlib-js/math-base-special-kernel-sin\n\n[@stdlib/math/base/special/kernel-tan]: https://github.com/stdlib-js/math-base-special-kernel-tan\n\n[@stdlib/math/base/special/rempio2]: https://github.com/stdlib-js/math-base-special-rempio2\n\n[@stdlib/math/base/special/fast]: https://github.com/stdlib-js/math-base-special-fast\n\n[@stdlib/math/base/special/acot]: https://github.com/stdlib-js/math-base-special-acot\n\n[@stdlib/math/base/special/acotd]: https://github.com/stdlib-js/math-base-special-acotd\n\n[@stdlib/math/base/special/acotdf]: https://github.com/stdlib-js/math-base-special-acotdf\n\n[@stdlib/math/base/special/acotf]: https://github.com/stdlib-js/math-base-special-acotf\n\n[@stdlib/math/base/special/acoth]: https://github.com/stdlib-js/math-base-special-acoth\n\n[@stdlib/math/base/special/acsc]: https://github.com/stdlib-js/math-base-special-acsc\n\n[@stdlib/math/base/special/acscd]: https://github.com/stdlib-js/math-base-special-acscd\n\n[@stdlib/math/base/special/acscdf]: https://github.com/stdlib-js/math-base-special-acscdf\n\n[@stdlib/math/base/special/acscf]: https://github.com/stdlib-js/math-base-special-acscf\n\n[@stdlib/math/base/special/acsch]: https://github.com/stdlib-js/math-base-special-acsch\n\n[@stdlib/math/base/special/asec]: https://github.com/stdlib-js/math-base-special-asec\n\n[@stdlib/math/base/special/asecd]: https://github.com/stdlib-js/math-base-special-asecd\n\n[@stdlib/math/base/special/asecdf]: https://github.com/stdlib-js/math-base-special-asecdf\n\n[@stdlib/math/base/special/asecf]: https://github.com/stdlib-js/math-base-special-asecf\n\n[@stdlib/math/base/special/asech]: https://github.com/stdlib-js/math-base-special-asech\n\n[@stdlib/math/base/special/bernoulli]: https://github.com/stdlib-js/math-base-special-bernoulli\n\n[@stdlib/math/base/special/beta]: https://github.com/stdlib-js/math-base-special-beta\n\n[@stdlib/math/base/special/betainc]: https://github.com/stdlib-js/math-base-special-betainc\n\n[@stdlib/math/base/special/betaincinv]: https://github.com/stdlib-js/math-base-special-betaincinv\n\n[@stdlib/math/base/special/betaln]: https://github.com/stdlib-js/math-base-special-betaln\n\n[@stdlib/math/base/special/binet]: https://github.com/stdlib-js/math-base-special-binet\n\n[@stdlib/math/base/special/binomcoef]: https://github.com/stdlib-js/math-base-special-binomcoef\n\n[@stdlib/math/base/special/binomcoefln]: https://github.com/stdlib-js/math-base-special-binomcoefln\n\n[@stdlib/math/base/special/boxcox]: https://github.com/stdlib-js/math-base-special-boxcox\n\n[@stdlib/math/base/special/boxcox1p]: https://github.com/stdlib-js/math-base-special-boxcox1p\n\n[@stdlib/math/base/special/boxcox1pinv]: https://github.com/stdlib-js/math-base-special-boxcox1pinv\n\n[@stdlib/math/base/special/boxcoxinv]: https://github.com/stdlib-js/math-base-special-boxcoxinv\n\n[@stdlib/math/base/special/cbrt]: https://github.com/stdlib-js/math-base-special-cbrt\n\n[@stdlib/math/base/special/cbrtf]: https://github.com/stdlib-js/math-base-special-cbrtf\n\n[@stdlib/math/base/special/ccis]: https://github.com/stdlib-js/math-base-special-ccis\n\n[@stdlib/math/base/special/cexp]: https://github.com/stdlib-js/math-base-special-cexp\n\n[@stdlib/math/base/special/cflipsign]: https://github.com/stdlib-js/math-base-special-cflipsign\n\n[@stdlib/math/base/special/cflipsignf]: https://github.com/stdlib-js/math-base-special-cflipsignf\n\n[@stdlib/math/base/special/cinv]: https://github.com/stdlib-js/math-base-special-cinv\n\n[@stdlib/math/base/special/cinvf]: https://github.com/stdlib-js/math-base-special-cinvf\n\n[@stdlib/math/base/special/copysign]: https://github.com/stdlib-js/math-base-special-copysign\n\n[@stdlib/math/base/special/copysignf]: https://github.com/stdlib-js/math-base-special-copysignf\n\n[@stdlib/math/base/special/cot]: https://github.com/stdlib-js/math-base-special-cot\n\n[@stdlib/math/base/special/cotd]: https://github.com/stdlib-js/math-base-special-cotd\n\n[@stdlib/math/base/special/coth]: https://github.com/stdlib-js/math-base-special-coth\n\n[@stdlib/math/base/special/cphase]: https://github.com/stdlib-js/math-base-special-cphase\n\n[@stdlib/math/base/special/cpolar]: https://github.com/stdlib-js/math-base-special-cpolar\n\n[@stdlib/math/base/special/csc]: https://github.com/stdlib-js/math-base-special-csc\n\n[@stdlib/math/base/special/cscd]: https://github.com/stdlib-js/math-base-special-cscd\n\n[@stdlib/math/base/special/csch]: https://github.com/stdlib-js/math-base-special-csch\n\n[@stdlib/math/base/special/deg2rad]: https://github.com/stdlib-js/math-base-special-deg2rad\n\n[@stdlib/math/base/special/deg2radf]: https://github.com/stdlib-js/math-base-special-deg2radf\n\n[@stdlib/math/base/special/digamma]: https://github.com/stdlib-js/math-base-special-digamma\n\n[@stdlib/math/base/special/dirac-delta]: https://github.com/stdlib-js/math-base-special-dirac-delta\n\n[@stdlib/math/base/special/dirichlet-eta]: https://github.com/stdlib-js/math-base-special-dirichlet-eta\n\n[@stdlib/math/base/special/ellipe]: https://github.com/stdlib-js/math-base-special-ellipe\n\n[@stdlib/math/base/special/ellipj]: https://github.com/stdlib-js/math-base-special-ellipj\n\n[@stdlib/math/base/special/ellipk]: https://github.com/stdlib-js/math-base-special-ellipk\n\n[@stdlib/math/base/special/erf]: https://github.com/stdlib-js/math-base-special-erf\n\n[@stdlib/math/base/special/erfc]: https://github.com/stdlib-js/math-base-special-erfc\n\n[@stdlib/math/base/special/erfcinv]: https://github.com/stdlib-js/math-base-special-erfcinv\n\n[@stdlib/math/base/special/erfcx]: https://github.com/stdlib-js/math-base-special-erfcx\n\n[@stdlib/math/base/special/erfinv]: https://github.com/stdlib-js/math-base-special-erfinv\n\n[@stdlib/math/base/special/factorial]: https://github.com/stdlib-js/math-base-special-factorial\n\n[@stdlib/math/base/special/factorial2]: https://github.com/stdlib-js/math-base-special-factorial2\n\n[@stdlib/math/base/special/factorialln]: https://github.com/stdlib-js/math-base-special-factorialln\n\n[@stdlib/math/base/special/falling-factorial]: https://github.com/stdlib-js/math-base-special-falling-factorial\n\n[@stdlib/math/base/special/fibonacci-index]: https://github.com/stdlib-js/math-base-special-fibonacci-index\n\n[@stdlib/math/base/special/fibonacci]: https://github.com/stdlib-js/math-base-special-fibonacci\n\n[@stdlib/math/base/special/flipsign]: https://github.com/stdlib-js/math-base-special-flipsign\n\n[@stdlib/math/base/special/flipsignf]: https://github.com/stdlib-js/math-base-special-flipsignf\n\n[@stdlib/math/base/special/fresnel]: https://github.com/stdlib-js/math-base-special-fresnel\n\n[@stdlib/math/base/special/fresnelc]: https://github.com/stdlib-js/math-base-special-fresnelc\n\n[@stdlib/math/base/special/fresnels]: https://github.com/stdlib-js/math-base-special-fresnels\n\n[@stdlib/math/base/special/frexp]: https://github.com/stdlib-js/math-base-special-frexp\n\n[@stdlib/math/base/special/gamma]: https://github.com/stdlib-js/math-base-special-gamma\n\n[@stdlib/math/base/special/gamma1pm1]: https://github.com/stdlib-js/math-base-special-gamma1pm1\n\n[@stdlib/math/base/special/gammainc]: https://github.com/stdlib-js/math-base-special-gammainc\n\n[@stdlib/math/base/special/gammaincinv]: https://github.com/stdlib-js/math-base-special-gammaincinv\n\n[@stdlib/math/base/special/gammaln]: https://github.com/stdlib-js/math-base-special-gammaln\n\n[@stdlib/math/base/special/gammasgn]: https://github.com/stdlib-js/math-base-special-gammasgn\n\n[@stdlib/math/base/special/gcd]: https://github.com/stdlib-js/math-base-special-gcd\n\n[@stdlib/math/base/special/heaviside]: https://github.com/stdlib-js/math-base-special-heaviside\n\n[@stdlib/math/base/special/hypot]: https://github.com/stdlib-js/math-base-special-hypot\n\n[@stdlib/math/base/special/hypotf]: https://github.com/stdlib-js/math-base-special-hypotf\n\n[@stdlib/math/base/special/inv]: https://github.com/stdlib-js/math-base-special-inv\n\n[@stdlib/math/base/special/invf]: https://github.com/stdlib-js/math-base-special-invf\n\n[@stdlib/math/base/special/kronecker-delta]: https://github.com/stdlib-js/math-base-special-kronecker-delta\n\n[@stdlib/math/base/special/kronecker-deltaf]: https://github.com/stdlib-js/math-base-special-kronecker-deltaf\n\n[@stdlib/math/base/special/lcm]: https://github.com/stdlib-js/math-base-special-lcm\n\n[@stdlib/math/base/special/ldexp]: https://github.com/stdlib-js/math-base-special-ldexp\n\n[@stdlib/math/base/special/lucas]: https://github.com/stdlib-js/math-base-special-lucas\n\n[@stdlib/math/base/special/max]: https://github.com/stdlib-js/math-base-special-max\n\n[@stdlib/math/base/special/maxn]: https://github.com/stdlib-js/math-base-special-maxn\n\n[@stdlib/math/base/special/min]: https://github.com/stdlib-js/math-base-special-min\n\n[@stdlib/math/base/special/minmax]: https://github.com/stdlib-js/math-base-special-minmax\n\n[@stdlib/math/base/special/minmaxn]: https://github.com/stdlib-js/math-base-special-minmaxn\n\n[@stdlib/math/base/special/minn]: https://github.com/stdlib-js/math-base-special-minn\n\n[@stdlib/math/base/special/modf]: https://github.com/stdlib-js/math-base-special-modf\n\n[@stdlib/math/base/special/negafibonacci]: https://github.com/stdlib-js/math-base-special-negafibonacci\n\n[@stdlib/math/base/special/negalucas]: https://github.com/stdlib-js/math-base-special-negalucas\n\n[@stdlib/math/base/special/nonfibonacci]: https://github.com/stdlib-js/math-base-special-nonfibonacci\n\n[@stdlib/math/base/special/pdiff]: https://github.com/stdlib-js/math-base-special-pdiff\n\n[@stdlib/math/base/special/pdifff]: https://github.com/stdlib-js/math-base-special-pdifff\n\n[@stdlib/math/base/special/polygamma]: https://github.com/stdlib-js/math-base-special-polygamma\n\n[@stdlib/math/base/special/rad2deg]: https://github.com/stdlib-js/math-base-special-rad2deg\n\n[@stdlib/math/base/special/rad2degf]: https://github.com/stdlib-js/math-base-special-rad2degf\n\n[@stdlib/math/base/special/ramp]: https://github.com/stdlib-js/math-base-special-ramp\n\n[@stdlib/math/base/special/rampf]: https://github.com/stdlib-js/math-base-special-rampf\n\n[@stdlib/math/base/special/rcbrt]: https://github.com/stdlib-js/math-base-special-rcbrt\n\n[@stdlib/math/base/special/rcbrtf]: https://github.com/stdlib-js/math-base-special-rcbrtf\n\n[@stdlib/math/base/special/riemann-zeta]: https://github.com/stdlib-js/math-base-special-riemann-zeta\n\n[@stdlib/math/base/special/rsqrt]: https://github.com/stdlib-js/math-base-special-rsqrt\n\n[@stdlib/math/base/special/rsqrtf]: https://github.com/stdlib-js/math-base-special-rsqrtf\n\n[@stdlib/math/base/special/secd]: https://github.com/stdlib-js/math-base-special-secd\n\n[@stdlib/math/base/special/sici]: https://github.com/stdlib-js/math-base-special-sici\n\n[@stdlib/math/base/special/spence]: https://github.com/stdlib-js/math-base-special-spence\n\n[@stdlib/math/base/special/sqrt]: https://github.com/stdlib-js/math-base-special-sqrt\n\n[@stdlib/math/base/special/sqrt1pm1]: https://github.com/stdlib-js/math-base-special-sqrt1pm1\n\n[@stdlib/math/base/special/sqrtf]: https://github.com/stdlib-js/math-base-special-sqrtf\n\n[@stdlib/math/base/special/sqrtpi]: https://github.com/stdlib-js/math-base-special-sqrtpi\n\n[@stdlib/math/base/special/tribonacci]: https://github.com/stdlib-js/math-base-special-tribonacci\n\n[@stdlib/math/base/special/trigamma]: https://github.com/stdlib-js/math-base-special-trigamma\n\n[@stdlib/math/base/special/wrap]: https://github.com/stdlib-js/math-base-special-wrap\n\n[@stdlib/math/base/special/abs]: https://github.com/stdlib-js/math-base-special-abs\n\n[@stdlib/math/base/special/abs2]: https://github.com/stdlib-js/math-base-special-abs2\n\n[@stdlib/math/base/special/abs2f]: https://github.com/stdlib-js/math-base-special-abs2f\n\n[@stdlib/math/base/special/absf]: https://github.com/stdlib-js/math-base-special-absf\n\n[@stdlib/math/base/special/cabs]: https://github.com/stdlib-js/math-base-special-cabs\n\n[@stdlib/math/base/special/cabs2]: https://github.com/stdlib-js/math-base-special-cabs2\n\n[@stdlib/math/base/special/cabs2f]: https://github.com/stdlib-js/math-base-special-cabs2f\n\n[@stdlib/math/base/special/cabsf]: https://github.com/stdlib-js/math-base-special-cabsf\n\n[@stdlib/math/base/special/cceil]: https://github.com/stdlib-js/math-base-special-cceil\n\n[@stdlib/math/base/special/cceilf]: https://github.com/stdlib-js/math-base-special-cceilf\n\n[@stdlib/math/base/special/cceiln]: https://github.com/stdlib-js/math-base-special-cceiln\n\n[@stdlib/math/base/special/ceil]: https://github.com/stdlib-js/math-base-special-ceil\n\n[@stdlib/math/base/special/ceil10]: https://github.com/stdlib-js/math-base-special-ceil10\n\n[@stdlib/math/base/special/ceil2]: https://github.com/stdlib-js/math-base-special-ceil2\n\n[@stdlib/math/base/special/ceilb]: https://github.com/stdlib-js/math-base-special-ceilb\n\n[@stdlib/math/base/special/ceilf]: https://github.com/stdlib-js/math-base-special-ceilf\n\n[@stdlib/math/base/special/ceiln]: https://github.com/stdlib-js/math-base-special-ceiln\n\n[@stdlib/math/base/special/ceilsd]: https://github.com/stdlib-js/math-base-special-ceilsd\n\n[@stdlib/math/base/special/cfloor]: https://github.com/stdlib-js/math-base-special-cfloor\n\n[@stdlib/math/base/special/cfloorn]: https://github.com/stdlib-js/math-base-special-cfloorn\n\n[@stdlib/math/base/special/clamp]: https://github.com/stdlib-js/math-base-special-clamp\n\n[@stdlib/math/base/special/clampf]: https://github.com/stdlib-js/math-base-special-clampf\n\n[@stdlib/math/base/special/cround]: https://github.com/stdlib-js/math-base-special-cround\n\n[@stdlib/math/base/special/croundn]: 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