Abstract and Applied Analysis
Volume 2009 (2009), Article ID 382574, 14 pages
doi:10.1155/2009/382574
On Multiple Interpolation Functions of the Nörlund-Type q-Euler Polynomials
Mehmet Açıkgöz1
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
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.