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

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-Pintér addition theorem is obtained. We give new identities involving q -Bernstein polynomials.