On the dirichlet’s type of eulerian polynomials

Abstract

In the present paper, we introduce the Eulerian polynomials attached to χ using p-adic q-integral on Zp. Also, we give some new interesting identities via the generating functions of Dirichlet’s type of Eulerian polynomials. In addition, by applying Mellin transformation to the generating function of Dirichlet’s type of Eulerian polynomials, we define Eulerian L type function which interpolates Dirichlet’s type of Eulerian polynomials at negative integers. © 2014, The Author(s).