Some Extensions of Multiple Gaussian Hypergeometric Series

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 F_p⁽⁴⁾ , and Srivastava's quadruple hypergeometric functions F⁽⁴⁾ and triple hypergeometric function F⁽³⁾.