Certain transformations for multiple hypergeometric functions

Abstract

The aim of this research is to provide many new hypergeometric transformations of Kampé de Fériet's double hypergeometric functions and Srivastava's triple hypergeometric functions, which are obtained with the help of the relations of Appell, Humbert, Horn and Srivastava's multiple hypergeometric functions. The results are derived by the beta integral method which has been recently introduced and studied systematically by Krattenthaler and Rao. ©2013 Wei et al.; licensee Springer.