A reducible case of double hypergeometric series involving the Riemann $\zeta$-function
Bull. Korean Math. Soc. 1996 Vol. 33, No. 1, 107-110
Junesang Choi and H. M. Srivastava Dongguk University and University of Victoria
Abstract : It is shown how simply a certain double hypergeometric series can be expressed in terms of the Riemann $\zeta$-function. As a by-product of the analysis presented here, the exact value of an interesting definite integral can be obtained.
Keywords : Riemann $\xi$-function, Double hypergeometric series