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Commun. Korean Math. Soc. 2014; 29(3): 429-437
Printed July 1, 2014
https://doi.org/10.4134/CKMS.2014.29.3.429
Copyright © The Korean Mathematical Society.
Further hypergeometric identities deducible by fractional calculus
Sebastien Gaboury and Arjun K. Rathie
University of Quebec at Chicoutimi, Central University of Kerala
Motivated by the recent investigations of several authors, in this paper we present a generalization of a result obtained recently by Choi \textit{et al.} (\cite{ChoiRathie2013}) involving hypergeometric identities. The result is obtained by suitably applying fractional calculus method to a generalization of the hypergeometric transformation formula due to Kummer.
Keywords: fractional derivatives, generalized hypergeometric function, Kummer's formula, beta integral method, generalization of Kummer's formula
MSC numbers: 26A33, 33C70, 33C90, 33C05
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