FUNCTIONAL RELATIONS INVOLVING SRIVASTAVA'S HYPERGEOMETRIC FUNCTIONS $H_B$ AND $F^{(3)}$

B. C. Carlson [Some extensions of Lardner's relations between and Bessel functions, SIAM J. Math. Anal. 1(2) (1970), 232-242] presented several useful relations between Bessel and generalized hypergeometric functions that generalize some earlier results. Here, by simply splitting Srivastava's hypergeometric function into eight parts, we show how some useful and generalized relations between Srivastava's hypergeometric functions and can be obtained. These main results are shown to be specialized to yield certain relations between functions , , , , and their products including different combinations with different values of parameters and signs of variables. We also consider some other interesting relations between the Humbert function and Kamp de Friet function, and between the product of exponential and Bessel functions with Kamp de Friet functions.