Congruences for Generalized -Bernoulli Polynomials

Abstract

In this paper, we give some further properties of p-adic q-L-function of two variables, which is recently constructed by Kim (2005) and Cenkci (2006). One of the applications of these properties yields general classes of congruences for generalized q-Bernoulli polynomials, which are q-extensions of the classes for generalized Bernoulli numbers and polynomials given by Fox (2000), Gunaratne (1995), and Young (1999, 2001).