English

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

Number Theory 2012-10-23 v1

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.

Keywords

Cite

@article{arxiv.1107.5950,
  title  = {A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions},
  author = {Serkan Araci and Mehmet Açikgöz and Hassan Jolany and Jong Jin Seo},
  journal= {arXiv preprint arXiv:1107.5950},
  year   = {2012}
}
R2 v1 2026-06-21T18:43:55.582Z