Some Extensions of Multiple Gaussian Hypergeometric Series

Print ISSN: 0972-7752

Abstract

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.

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