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

By simply splitting the hypergeometric Saran function <TEX>$F_E$</TEX> into eight parts, we show how some useful and generalized relations between <TEX>$F_E$</TEX> and Srivas- tava's hypergeometric function <TEX>$F^{(3)}$</TEX> can be obtained. These main results are shown to be specialized to yield certain relations between functions <TEX>$_0F_1$</TEX>, <TEX>$_1F_1$</TEX>, <TEX>$_0F_3$</TEX>, <TEX>${\Psi}_2$</TEX>, and their products including different combinations with different values of parameters and signs of variables.

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