{"title":"与广义雅可比多项式相关的函数序列说明","authors":"D. Waghela, S.B. Rao","doi":"10.15421/242316","DOIUrl":null,"url":null,"abstract":"An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\\tau ,k}^{(\\alpha ,\\beta ,\\gamma ,\\delta )} (x;a,u,v)$ associated with the generalized Jacobi polynomial $P_{n,\\,\\tau }^{\\left( {\\alpha ,\\,\\gamma ,\\,\\beta } \\right)} (x)$ have been deduced.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"88 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on Sequence of Functions associated with the Generalized Jacobi polynomial\",\"authors\":\"D. Waghela, S.B. Rao\",\"doi\":\"10.15421/242316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\\\\tau ,k}^{(\\\\alpha ,\\\\beta ,\\\\gamma ,\\\\delta )} (x;a,u,v)$ associated with the generalized Jacobi polynomial $P_{n,\\\\,\\\\tau }^{\\\\left( {\\\\alpha ,\\\\,\\\\gamma ,\\\\,\\\\beta } \\\\right)} (x)$ have been deduced.\",\"PeriodicalId\":52827,\"journal\":{\"name\":\"Researches in Mathematics\",\"volume\":\"88 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Researches in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/242316\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Researches in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/242316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
A Note on Sequence of Functions associated with the Generalized Jacobi polynomial
An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $S_{n,\tau ,k}^{(\alpha ,\beta ,\gamma ,\delta )} (x;a,u,v)$ associated with the generalized Jacobi polynomial $P_{n,\,\tau }^{\left( {\alpha ,\,\gamma ,\,\beta } \right)} (x)$ have been deduced.