Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials

Abstract

In this article we prove some relations between two-variable q-Bernoulli polynomials and two-variable q-Euler polynomials. By using the equality $e_q(z)E_q(-z)=1$, we give an identity for the two-variable q-Genocchi polynomials. Also, we obtain an identity for the two-variable q-Bernoulli polynomials. Furthermore, we prove two theorems which are analogues of the q-extension Srivastava-Pinter additional theorem