English

On the Dirichlet's type of Eulerian polynomials

Number Theory 2019-07-04 v1

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.

Keywords

Cite

@article{arxiv.1207.1834,
  title  = {On the Dirichlet's type of Eulerian polynomials},
  author = {Serkan Araci and Mehmet Acikgoz and Deyao Gao},
  journal= {arXiv preprint arXiv:1207.1834},
  year   = {2019}
}

Comments

8 pages, submitted

R2 v1 2026-06-21T21:32:19.035Z