ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXV, 2 (2006)
p. 253 - 266
On hypergeometric-type generating relations associated with the generalized zeta function
M. G. Bin-Saad and A. A. Al-Gonah

Abstract.  In this paper, we aim at introducing and studying two hypergeometric-type generating functions associated with the generalized zeta function; our goal is to derive their basic properties including integral representations, sums, series representations and generating functions. A number of (known and new) results are shown to follow as special cases of our formulae.

Keywords. Riemann and Hurwitz zeta functions, Euler integral, generating functions, hypergeometric functions.

AMS Subject classification.  Primary: 11M06, 11M35; Secondary: 33C20.
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