Beyond the beta integral method: transformation formulas for hypergeometric functions via Meijer's G function

D. B. Karp, E. G. Prilepkina

Published 2019-12-24Version 1

The beta integral method proved itself as a simple nonetheless powerful method of generating hypergeometric identities at a fixed argument. In this paper we propose a generalization by substituting the beta density with a particular type of Meijer's G function. By application of our method to known transformation formulas we derive about forty hypergeometric identities majority of which are believed to be new.