Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2018; 33(4): 1239-1248

Online first article April 11, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170421

Copyright © The Korean Mathematical Society.

New transformations for hypergeometric functions deducible by fractional calculus

Yong Sup Kim

Wonkwang University

Abstract

Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-vari\-ables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

Keywords: fractional derivatives, Appell functions, Srivastava functions, multiple hypergeometric series

MSC numbers: Primary 33C20, 33C05; Secondary 33B20