{"title":"The Markov sequence problem for the Jacobi polynomials and on the simplex","authors":"D. Bakry, L. Mbarki","doi":"10.2140/tunis.2020.2.535","DOIUrl":null,"url":null,"abstract":"We provide a simplified proof of the hypergroup property for the Jacobi polynomials on the unit interval, and investigate various generalizations of this property for the family of Dirichlet laws on the simplex.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/tunis.2020.2.535","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tunisian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/tunis.2020.2.535","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
We provide a simplified proof of the hypergroup property for the Jacobi polynomials on the unit interval, and investigate various generalizations of this property for the family of Dirichlet laws on the simplex.
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