On the behavior of two variable twisted p-adic Euler q - l-functions

No Thumbnail Available

Date

2009-12-15

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-Elsevier Science

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.

Description

Keywords

Euler q - l-functions, P-adic Euler q - l-functions, P-adic q-integral, Twisted q-Euler numbers and polynomials, Volkenborn integral, Q-zeta-functions, Q-bernoulli numbers, Analytic continuation, Q-extension, Q-integrals, L-series, Q-analog, Polynomials, Z(p), Mathematics, Euler numbers, Euler q - l-functions, Integral representation, Negative integers, p-adic Euler q - l-functions, p-adic q-integral, Zeta function, Polynomials

Citation

Özden, H. vd. (2009). "On the behavior of two variable twisted p-adic Euler q - l-functions". Nonlinear Analysis, Theory, Methods and Applications, 71(12), E942-E951.