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arXiv · 1207.1834

On the Dirichlet's type of Eulerian polynomials

Serkan Araci·Mehmet Acikgoz·Deyao Gao
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Abstract

In the present paper, we introduce Eulerian polynomials attached to by using p-adic q-integral on Zp . Also, we give new interesting identities via the generating functions of Dirichlet's type of Eulerian polynomials. After, by applying Mellin transformation to this generating function of Dirichlet' type of Eulerian polynomials, we derive L-function for Eulerian polynomials which interpolates of Dirichlet's type of Eulerian polynomials at negative integers.

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Serkan Araci, Mehmet Acikgoz, Deyao Gao. 2012-07-08. On the Dirichlet's type of Eulerian polynomials. https://doi.org/10.1007/s40096-014-0131-8

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