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http://dx.doi.org/10.4134/BKMS.2013.50.5.1673

CERTAIN HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY USING THE BETA INTEGRAL METHOD  

Choi, Junesang (Department of Mathematics Dongguk University)
Rathie, Arjun K. (Department of Mathematics School of Mathematical and Physical Sciences Central University of Kerala Riverside Transit Campus)
Srivastava, Hari M. (Department of Mathematics and Statistics University of Victoria)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1673-1681 More about this Journal
Abstract
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 [6]. 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 [6] 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;
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