Recent Applications of Multiple Hypergeometric Transformations in Function Spaces and Associated Reduction Formulas

Abstract

In this research paper we have obtained recent applications of multiple hypergeometric transformations in function spaces and associated reductions formulas of Kampé de Ferlet’s, Exton’s double series, and Srivastava triple series. Further, we have presented some interesting integrals involving the Lauricella’s   , Lauricella-Saran’s ,  etc., Exton’s , Horn’s  and Jain’s  and generalized hypergeometric series  arise as special cases of our main results. Also, some special cases were considered as an application of presented integral functions in function spaces.