Junesang Choi, Arjun K. Rathie, and Hari M. Srivastava Dongguk University, Central University of Kerala, University of Victoria
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 \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
