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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