{"id":15195129,"url":"https://github.com/expander/clausenfunctions.jl","last_synced_at":"2025-10-15T17:32:46.095Z","repository":{"id":45006097,"uuid":"408192720","full_name":"Expander/ClausenFunctions.jl","owner":"Expander","description":"Clausen functions in Julia","archived":false,"fork":false,"pushed_at":"2024-12-19T19:08:39.000Z","size":577,"stargazers_count":5,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"main","last_synced_at":"2025-02-01T09:11:14.323Z","etag":null,"topics":["julia","math","special-functions"],"latest_commit_sha":null,"homepage":"","language":"Julia","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/Expander.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":"CITATION.cff","codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2021-09-19T17:31:10.000Z","updated_at":"2024-12-19T19:08:42.000Z","dependencies_parsed_at":"2023-02-01T08:01:27.511Z","dependency_job_id":"21acea61-28b1-495b-af57-c215dc623782","html_url":"https://github.com/Expander/ClausenFunctions.jl","commit_stats":{"total_commits":110,"total_committers":3,"mean_commits":"36.666666666666664","dds":0.08181818181818179,"last_synced_commit":"3cd6f969790c7c553202dd2bfbb08d18ae20fa83"},"previous_names":[],"tags_count":18,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Expander%2FClausenFunctions.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Expander%2FClausenFunctions.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Expander%2FClausenFunctions.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Expander%2FClausenFunctions.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Expander","download_url":"https://codeload.github.com/Expander/ClausenFunctions.jl/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":238574467,"owners_count":19494722,"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":["julia","math","special-functions"],"created_at":"2024-09-27T23:06:39.745Z","updated_at":"2025-10-15T17:32:41.063Z","avatar_url":"https://github.com/Expander.png","language":"Julia","readme":"ClausenFunctions.jl\n===================\n\n[![test](https://github.com/Expander/ClausenFunctions.jl/actions/workflows/build.yml/badge.svg)](https://github.com/Expander/ClausenFunctions.jl/actions/workflows/build.yml)\n[![coverage](https://coveralls.io/repos/github/Expander/ClausenFunctions.jl/badge.svg)](https://coveralls.io/github/Expander/ClausenFunctions.jl)\n\nThe ClausenFunctions.jl package provides Julia implementations of the\nStandard Clausen functions and Glaisher-Clausen functions of integer\norder for real or complex arguments.\n\n\nExample\n-------\n\n```.jl\nusing ClausenFunctions\n\n# real arguments\ncl1(1.0)        # Standard Clausen function Cl_1(x)\ncl2(1.0)        # Standard Clausen function Cl_2(x)\ncl3(1.0)        # Standard Clausen function Cl_3(x)\ncl4(1.0)        # Standard Clausen function Cl_4(x)\ncl5(1.0)        # Standard Clausen function Cl_5(x)\ncl6(1.0)        # Standard Clausen function Cl_6(x)\ncl(10, 1.0)     # Standard Clausen function Cl_n(x)\ncl(10, big\"1\")  # Standard Clausen function Cl_n(x)\nsl(10, 1.0)     # Glaisher-Clausen function Sl_n(x)\nsl(10, big\"1\")  # Glaisher-Clausen function Sl_n(x)\n\n# complex arguments\ncl1(1.0 + 1.0im)      # Standard Clausen function Cl_1(x)\ncl(10, 1.0 + 1.0im)   # Standard Clausen function Cl_n(x)\ncl(10, big\"1\" + 1im)  # Standard Clausen function Cl_n(x)\nsl(10, 1.0 + 1.0im)   # Glaisher-Clausen function Sl_n(x)\nsl(10, big\"1\" + 1im)  # Glaisher-Clausen function Sl_n(x)\n```\n\n\nDocumentation\n-------------\n\n[https://docs.juliahub.com/ClausenFunctions/](https://docs.juliahub.com/ClausenFunctions/)\n\n\nNotes\n-----\n\nThe implementation of the Standard Clausen function `cl(n,x)` for real\n`x` follows the approach presented in [Jiming Wu, Xiaoping Zhang,\nDongjie Liu, \"An efficient calculation of the Clausen functions\nCl_n(θ)(n \u003e= 2)\", Bit Numer Math 50, 193-206 (2010)\n[https://doi.org/10.1007/s10543-009-0246-8](https://doi.org/10.1007/s10543-009-0246-8)].\n\n\nCopying\n-------\n\nClausenFunctions.jl is licenced under the MIT License.\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fexpander%2Fclausenfunctions.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fexpander%2Fclausenfunctions.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fexpander%2Fclausenfunctions.jl/lists"}