{"id":16450916,"url":"https://github.com/stla/jackpolynomials.jl","last_synced_at":"2025-11-21T10:02:51.580Z","repository":{"id":45980687,"uuid":"321609745","full_name":"stla/JackPolynomials.jl","owner":"stla","description":"Jack, Zonal, and Schur polynomials.","archived":false,"fork":false,"pushed_at":"2022-07-22T09:20:40.000Z","size":143,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"master","last_synced_at":"2025-02-23T14:09:20.083Z","etag":null,"topics":["jack-polynomials","julia","schur-polynomials","zonal-polynomials"],"latest_commit_sha":null,"homepage":"https://stla.github.io/JackPolynomials.jl/dev/","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/stla.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null}},"created_at":"2020-12-15T08:59:28.000Z","updated_at":"2022-02-12T21:51:59.000Z","dependencies_parsed_at":"2022-07-18T14:47:26.309Z","dependency_job_id":null,"html_url":"https://github.com/stla/JackPolynomials.jl","commit_stats":null,"previous_names":[],"tags_count":1,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stla%2FJackPolynomials.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stla%2FJackPolynomials.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stla%2FJackPolynomials.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stla%2FJackPolynomials.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stla","download_url":"https://codeload.github.com/stla/JackPolynomials.jl/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":240875994,"owners_count":19871899,"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":["jack-polynomials","julia","schur-polynomials","zonal-polynomials"],"created_at":"2024-10-11T10:06:24.322Z","updated_at":"2025-11-21T10:02:51.574Z","avatar_url":"https://github.com/stla.png","language":"Julia","funding_links":[],"categories":[],"sub_categories":[],"readme":"# JackPolynomials.jl\n\n[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://stla.github.io/JackPolynomials.jl/dev)\n\nSchur polynomials have applications in combinatorics and zonal polynomials have\napplications in multivariate statistics. They are particular cases of\n[Jack polynomials](https://en.wikipedia.org/wiki/Jack_function). This package\nallows to evaluate these polynomials. It can also compute their symbolic form:\n\n```julia\njulia\u003e jack = JackPolynomial(2, [3 ; 1], 2.5)\n24.5x₁³x₂ + 14.0x₁²x₂² + 24.5x₁x₂³\n\njulia\u003e jack(1,2)\n301.0\n```\n\nHere `2.5` is the value of the `alpha` parameter. One can use a rational\nnumber instead:\n\n```julia\nJackPolynomial(2, [3; 1], 1//4)\n25//8x₁³x₂ + 5//1x₁²x₂² + 25//8x₁x₂³\n```\n\nIt is also possible to deal with a symbolic `alpha`:\n\n```julia\njulia\u003e jack = JackPolynomial(2, [2 ; 1])\n(alpha + 2)*x_1^2*x_2 + (alpha + 2)*x_1*x_2^2\n\njulia\u003e jack(1,2)\n6*alpha + 12\n```\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstla%2Fjackpolynomials.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstla%2Fjackpolynomials.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstla%2Fjackpolynomials.jl/lists"}