ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIII, 1 (2004)
p. 89 100

Certain Results Involving a Class of Functions Associated with the Hurwitz Zeta Function
R. K. Raina and P. K. Chhajed


Abstract.  The purpose of this paper is to consider a new generalization of the Hurwitz zeta function. Generating functions, Mellin transform, and a series identity are obtained for this generalized class of functions. Some of the results are used to provide a further generalization of the Lambert transform. Relevance with various known results are depicted invariably. Multivariable extensions are also pointed out briefly.

AMS Subject classification:  11M06, 11M35;   Secondary: 33C20.
Keywords:  Hurwitz zeta function, generating functions, Mellin transform, Gamma function.

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