Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2021; 36(1): 63-101

Online first article September 10, 2020      Printed January 31, 2021

https://doi.org/10.4134/CKMS.c200147

Copyright © The Korean Mathematical Society.

On an interesting extension of Kummer's second theorem with applications

Mohammed M. Awad, Asmaa O. Mohammed, Medhat A. Rakha, Arjun K. Rathie

Suez Canal University; Suez Canal University; Suez Canal University; Rajasthan Technical University

Abstract

In this research paper, an attempt has been made to provide an interesting extension of the well-known and useful Kummer's second theorem. Several applications have also been given.

Keywords: Hypergeometric function, generalized hypergeometric function, Kummer's first and second theorems, Kamp\'{e} de F\'{e}riet function, double and triple series

MSC numbers: 33B15, 33C05, 33C15