On the Dirichlet's type of Eulerian polynomials

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.

8 pages, submitted

References in corpus (3)

• A note on q-Euler numbers and polynomials
• On the $q$-Genocchi numbers and polynomials with weight zero and their applications
• A note on the (h,q)-Zeta type function with weight alpha