Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem

tions F(3), F(4), Lauricella’s quadruple hypergeometric function F A , Exton’s multiple hypergeometric functions X E:G;H , K10, K13, X8, (k)H 2 , (k)H 4 , Erdélyi’s multiple hypergeometric function Hn,k, Khan and Pathan’s triple hypergeometric function H (P) 4 , Kampé de Fériet’s double hypergeometric function F E:G;H , Appell’s double hypergeometric function of the second kind F2, and the Srivastava-Daoust function F A:B(1);B(2);... ;B(n) D:E(1);E(2);... ;E(n) . Some known results of Buschman, Srivastava, and Bailey are obtained.