On the behavior of two variable twisted p-adic Euler q-l-functions
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.71, no.12, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 71 Issue: 12
- Publication Date: 2009
- Doi Number: 10.1016/j.na.2009.01.048
- Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: p-adic q-integral, Volkenborn integral, Twisted q-Euler numbers and polynomials, Euler q-l-functions, p-adic Euler q-l-functions, Q-ZETA-FUNCTIONS, Q-BERNOULLI NUMBERS, ANALYTIC CONTINUATION, Q-EXTENSION, Q-INTEGRALS, L-SERIES, Q-ANALOG, POLYNOMIALS, Z(P)
- Akdeniz University Affiliated: Yes
Abstract
In this paper, we study on (h, q)-Euler-zeta and l-functions. We give relations between twisted (h, q)-partial zeta function twisted (h, q)-Euler-zeta and twisted two variable (h, q)-Euler l-functions. We also give the value of twisted two variable (h, q)-Euler l-function at s = 0. The main purpose of this paper is to construct two-variable twisted p-adic Euler (h, q)-l-function which interpolates twisted (h, q)-Euler polynomials at negative integers. We give p-adic fermionic integral representation of this functions. (C) 2009 Elsevier Ltd. All rights reserved.