On multiple interpolation functions of the nrlund-type Q -euler polynomials

Abstract

In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nrlund-type q -Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q -zeta function. This function interpolates Nrlund-type q -Euler polynomials at negative integers. We also give some identities related to these polynomials and functions. Furthermore, we give some remarks about approximations of Bernoulli and Euler polynomials. Copyright © 2009 M. Acikgoz and Y. Simsek.