Bull. Korean Math. Soc. 2013; 50(5): 1673-1681
Printed September 1, 2013
https://doi.org/10.4134/BKMS.2013.50.5.1673
Copyright © The Korean Mathematical Society.
Junesang Choi, Arjun K. Rathie, and Hari M. Srivastava
Dongguk University, Central University of Kerala, University of Victoria
The main objective of this paper is to show how one can obtain eleven new and interesting hypergeometric identities in the form of a single result from the old ones by mainly employing the known beta integral method which was recently introduced and used in a systematic manner by Krattenthaler and Rao \cite{Kr-Ra}. The results are derived with the help of a generalization of a well-known hypergeometric transformation formula due to Kummer. Several identities including one obtained earlier by Krattenthaler and Rao \cite{Kr-Ra} follow as special cases of our main results.
Keywords: generalized hypergeometric function ${}_pF_q$, Gamma function, Pochhammer symbol, Beta integral method, Kummer's formula, generalization of Kummer's formula
MSC numbers: Primary 33C70, 33C06; Secondary 33C90, 33C05
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