On a Class of q-Bernoulli, q-Euler, and q-Genocchi Polynomials

Abstract

The main purpose of this paper is to introduce and investigate a class of q-Bernoulli, q-Euler, and q-Genocchi polynomials. The q-analogues of well-known formulas are derived. In addition, the q-analogue of the Srivastava-Pinter theorem is obtained. Some new identities, involving q-polynomials, are proved.