Some investigation of general multiple series identities which extend and generalize the theorems of Bailey [1 ] and Pathan [2 ] is done. Its special cases yield various new transformations and reduction formulae involving quadruple hy- pergeometric function Fp(4) , and Srivastava's quadruple hypergeometric functions F(4) and triple hypergeometric function F(3).
Keywords and Phrases
Dixon's Theorem, Multiple Gaussian Hypergeometric Functions.
A.M.S. subject classiﬁcation
Primary 33C45, 33C55, 33C64, 33C65, 33C70, 33C99.