Multivariate interpolation functions of higher-order q-euler numbers and their applications
ABSTRACT AND APPLIED ANALYSIS, vol.2008, 2008 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 2008
- Publication Date: 2008
- Doi Number: 10.1155/2008/390857
- Journal Name: ABSTRACT AND APPLIED ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q-Euler zeta function ) and l-function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz q-Euler zeta function and multivariate q-Euler l-function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well. Copyright (c) 2008 Hacer Ozden et al.