{"title":"关于Konhauser双正交多项式的双边生成函数","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":"{\"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}","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}
On Bilateral Generating Functions of Konhauser Biorthogonal Polynomials
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.