{"title":"On Bilateral Generating Functions of Konhauser Biorthogonal Polynomials","authors":"K. Samanta, B. Samanta","doi":"10.13189/UJAM.2015.030202","DOIUrl":null,"url":null,"abstract":"In this article, we have obtained some novel results on bilateral generating functions of the polynomials, , a modified form of Konhauser biorthogonal polynomials, by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, . Some applications of our results are also discussed.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13189/UJAM.2015.030202","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
In this article, we have obtained some novel results on bilateral generating functions of the polynomials, , a modified form of Konhauser biorthogonal polynomials, by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, . Some applications of our results are also discussed.
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