A new extension of q-Euler numbers and polynomials related to their interpolation functions
APPLIED MATHEMATICS LETTERS, vol.21, no.9, pp.934-939, 2008 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 21 Issue: 9
- Publication Date: 2008
- Doi Number: 10.1016/j.aml.2007.10.005
- Journal Name: APPLIED MATHEMATICS LETTERS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.934-939
- Keywords: p-adic Volkenborn integral, Twisted q-Euler numbers and polynomials, Zeta and l-functions
- Akdeniz University Affiliated: Yes
Abstract
In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers. (c) 2007 Elsevier Ltd. All rights reserved.