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 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 MSC numbers : primary 33B99; secondary 11M99 Downloads: Full-text PDF