FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS F_EAND F⁽³⁾

Abstract

Abstract. By simply splitting the hypergeometric Saran function F E into eight parts, we show how some useful and generalized relations between FE and Srivastava's hypergeometric function F (3) can be obtained. These main results are shown to be specialized to yield certain relations between functions 0 F 1 , 1 F 1 , 0 F 3 , Ψ 2 , and their products including different combinations with different values of parameters and signs of variables.