A HYPERGEOMETRIC GENERATING FUNCTION INSPIRED BY THE WORK OF BEDIENT AND SHIVELY

Print ISSN: 0972-7752

Abstract

In this article, a hypergeometric generating function with suitable convergence conditions in the form of Srivastava-Daoust triple hypergeometric function is derived by using series rearrangement technique. Some generating functions for Bedient's two polynomials and Shively pseudo-Laguerre polynomials are also obtained as special cases.

Keywords and Phrases

Hypergeometric functions; Series rearrangement technique; Pseudo-Laguerre polynomials; Bedient polynomials; Multiple series identity.

A.M.S. subject classification

33C20, 33C45, 05A15.

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