Formula omitted]-Analogue of twisted [formula omitted]-series and [formula omitted]-twisted Euler numbers

Abstract

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.