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arxiv: 1208.0589 · v1 · pith:MOWOOZMRnew · submitted 2012-08-02 · 🧮 math.NT

Dirichlet's type of twisted Eulerian polynomials in connection with Eulerian-L-function

classification 🧮 math.NT
keywords dirichleteulerianpolynomialstwistedtypeeulerian-l-functionp-adicthem
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In the present paper, we effect Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-integral on the p-adic integer ring. Also, we introduce some new interesting identities for them. As a result of them, by using contour integral on the generating function of Dirichlet's type of twisted Eulerian polynomials and so we define twisted Eulerian-L-function which interpolates of Dirichlet's type of Eulerian polynomials at negative integers which we state in this paper.

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