q-Analogue of twisted l-series and q-twisted Euler

摘要

We define generating functions of q-generalized Euler numbers and polynomials and twisted q-generalized Euler numbers and polynomials. By using these functions, we give some properties of these numbers. We construct a complex twisted l(q)-functions which interpolate twisted q-generalized Euler numbers. As an application, we obtain the values of twisted l(q)-functions at non-positive integers. Therefore, we find a relation between twisted l(q)-functions and twisted q-generalized numbers explicitly. (C) 2004 Elsevier Inc. All rights reserved.