Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2017; 32(1): 75-84

Online first article January 19, 2017      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c160043

Copyright © The Korean Mathematical Society.

Generating functions for the extended Wright type hypergeometric function

Ranjan Kumar Jana, Bhumika Maheshwari, and Ajay Kumar Shukla

S.V. National Institute of Technology, S.V. National Institute of Technology, S.V. National Institute of Technology

Abstract

In recent years, several interesting families of generating functions for various classes of hypergeometric functions were investigated systematically. In the present paper, we introduce a new family of extended Wright type hypergeometric function and obtain several classes of generating relations for this extended Wright type hypergeometric function.

Keywords: generating functions, gamma and beta functions, hypergeometric functions, Wright type hypergeometric function, linear, bilinear and bilateral (or mixed multilateral) generating functions

MSC numbers: 33B15, 33B99, 33C05, 33C20, 33C99