On a class of q-Bernoulli and q-Euler polynomials

Abstract

The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava-Pint,r addition theorem is obtained. We give new identities involving q-Bernstein polynomials.