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

M. I. Qureshi; Javid Majid

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

Volume 15, Issue 3 Pages 65-80 December 31, 2019 234 downloads

Article overview

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 functionsSeries rearrangement techniquePseudo-Laguerre polynomialsBedient polynomialsMultiple series identity.

AMS Subject Classification

33C20, 33C45, 05A15.

Reference information

How to Cite

M. I. Qureshi, Javid Majid (2019). A HYPERGEOMETRIC GENERATING FUNCTION INSPIRED BY THE WORK OF BEDIENT AND SHIVELY. South East Asian Journal of Mathematics and Mathematical Sciences, 15(3), 65-80.

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