{"title":"雅可比多项式和单纯形上的马尔可夫序列问题","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":"{\"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}","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}
The Markov sequence problem for the Jacobi polynomials and on the simplex
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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