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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 130

Volume : 15 , Issue : 3
DOI:
Author :
M. I. Qureshi (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, I)
Javid Majid (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, I)

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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