Abstract and Applied Analysis
Volume 2009 (2009), Article ID 382574, 14 pages
doi:10.1155/2009/382574
Research Article

On Multiple Interpolation Functions of the Nörlund-Type q-Euler Polynomials

Mehmet Acikgoz1 and Yilmaz Simsek2

1Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, 27310 Gaziantep, Turkey
2Department of Mathematics, Faculty of Arts and Science, University of Akdeniz, 07058 Antalya, Turkey

Received 13 February 2009; Accepted 24 March 2009

Academic Editor: Agacik Zafer

Copyright © 2009 Mehmet Acikgoz and Yilmaz Simsek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-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 Nörlund-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.