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arXiv · 1205.2854

A new family of q-analogue of Genocchi numbers and polynomials of higher order

Serkan Araci·Mehmet Acikgoz·Jong Jin Seo
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Abstract

In this work, we consider the generating function of Kim's q-Euler polynomials and introduce new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give surprising identities for studying in Analytic Numbers Theory and especially in Mathematical Physics. Moreover, by applying q-Mellin transformation to generating function of q-Genocchi polynomials of higher order and so we define q-Hurwitz-Zeta type function which interpolates of this polynomials at negative integers.

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Serkan Araci, Mehmet Acikgoz, Jong Jin Seo. 2012-05-13. A new family of q-analogue of Genocchi numbers and polynomials of higher order. https://arxiv.org/abs/1205.2854

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