A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions

preprint2011arXivOpen access

Abstract

The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extensions of Hurwitz-zeta type functions from the Mellin transformation of this generating function which interpolates the unification of q-extension of Genocchi polynomials.

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