• Bilateral generating functions for Jacobi polynomials

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      https://www.ias.ac.in/article/fulltext/pmsc/101/01/0049-0054

    • Keywords

       

      Bilateral generating functions; orthogonal polynomials; generating relations; Jacobian polynomials; triple hypergeometric series

    • Abstract

       

      In this paper, we have obtained three theorems on generating functions. We derive from these theorems a large number of bilateral generating functions for Jacobi polynomials. Certain interesting expansions of triple hypergeometric series are also obtained from one of the theorems.

    • Author Affiliations

       

      O V Singh1 R C Bhatt1

      1. Department of Mathematics and Statistics, University of Jodhpur, Jodhpur - 342 001, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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