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

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 lq-functions which interpolate twisted q-generalized Euler numbers. As an application, we obtain the values of twisted lq-functions at non-positive integers. Therefore, we find a relation between twisted lq-functions and twisted q-generalized numbers explicitly.