{"title":"Recurrence relations for the moments of discrete semiclassical orthogonal polynomials","authors":"D. Dominici","doi":"10.7153/jca-2022-20-11","DOIUrl":null,"url":null,"abstract":"We study recurrence relations satisfied by the moments ν n ( z ) of a linear functional L whose first moment satisfies a differential equation (in z ) with polynomial coefficients. Dedicated to Dick Askey (1933 – 2019), Grandmaster of Special Functions! Subject Classification Codes: 33C47 (primary), 33C20, 11B37 (secondary).","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2022-20-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We study recurrence relations satisfied by the moments ν n ( z ) of a linear functional L whose first moment satisfies a differential equation (in z ) with polynomial coefficients. Dedicated to Dick Askey (1933 – 2019), Grandmaster of Special Functions! Subject Classification Codes: 33C47 (primary), 33C20, 11B37 (secondary).