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.
Yong Sup Kim
Wonkwang University
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
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