{"id":20500563,"url":"https://github.com/juliaapproximation/semiclassicalorthogonalpolynomials.jl","last_synced_at":"2025-03-05T19:33:59.270Z","repository":{"id":42525996,"uuid":"239782461","full_name":"JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl","owner":"JuliaApproximation","description":"A Julia repository for semiclassical orthogonal polynomials","archived":false,"fork":false,"pushed_at":"2025-02-12T22:04:13.000Z","size":229,"stargazers_count":7,"open_issues_count":13,"forks_count":3,"subscribers_count":8,"default_branch":"master","last_synced_at":"2025-02-12T23:20:33.815Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"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/JuliaApproximation.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,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2020-02-11T14:31:02.000Z","updated_at":"2025-01-31T11:01:42.000Z","dependencies_parsed_at":"2023-11-18T12:25:59.783Z","dependency_job_id":"51300557-00f0-4d34-828e-1c8d8fba1485","html_url":"https://github.com/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl","commit_stats":{"total_commits":86,"total_committers":4,"mean_commits":21.5,"dds":0.2093023255813954,"last_synced_commit":"5e4d53d5d875d54a8b459839237a7c537d9d859d"},"previous_names":[],"tags_count":33,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaApproximation%2FSemiclassicalOrthogonalPolynomials.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaApproximation%2FSemiclassicalOrthogonalPolynomials.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaApproximation%2FSemiclassicalOrthogonalPolynomials.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaApproximation%2FSemiclassicalOrthogonalPolynomials.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/JuliaApproximation","download_url":"https://codeload.github.com/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":242092288,"owners_count":20070494,"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":[],"created_at":"2024-11-15T18:21:34.760Z","updated_at":"2025-03-05T19:33:59.247Z","avatar_url":"https://github.com/JuliaApproximation.png","language":"Julia","funding_links":[],"categories":[],"sub_categories":[],"readme":"# SemiclassicalOrthogonalPolynomials.jl\nA Julia repository for semiclassical orthogonal polynomials\n\n\n[![Build Status](https://github.com/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl/workflows/CI/badge.svg)](https://github.com/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl/actions)\n[![codecov](https://codecov.io/gh/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/JuliaApproximation/SemiclassicalOrthogonalPolynomials.jl)\n\nThis package implements `SemiclassicalJacobi`, a family of orthogonal \npolynomials orthogonal with respect to the weight `x^a * (1-x)^b * (t-x)^c`. \nThis builds on top of [ClassicalOrthogonalPolynomials.jl](https://github.com/JuliaApproximation/ClassicalOrthogonalPolynomials.jl) and usage is similar.\n\nFor example, the following gives a half-range Chebyshev polynomial:\n```julia\njulia\u003e using SemiclassicalOrthogonalPolynomials\njulia\u003e T = SemiclassicalJacobi(2, -1/2, 0, -1/2)\nSemiclassicalJacobi with weight x^-0.5 * (1-x)^0.0 * (2.0-x)^-0.5 on 0..1\n\njulia\u003e T[0.1,1:10] # evaluate first 10 OPs at 0.1\n10-element Array{Float64,1}:\n  1.0\n -0.855801766003832\n  0.19083013661761547\n  0.5574589013555691\n -1.085921276099753\n  1.181713489691121\n -0.8056271765695796\n  0.10748539771183807\n  0.6338334369113602\n -1.1219700834800677\n\njulia\u003e U = SemiclassicalJacobi(2, 1/2, 0, 1/2, T) # last argument reuses computation from T\nSemiclassicalJacobi with weight x^0.5 * (1-x)^0.0 * (2.0-x)^0.5 on 0..1\n```\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliaapproximation%2Fsemiclassicalorthogonalpolynomials.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fjuliaapproximation%2Fsemiclassicalorthogonalpolynomials.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliaapproximation%2Fsemiclassicalorthogonalpolynomials.jl/lists"}