Journal article

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 $e_qinsert ignore into journalissuearticles values(z);E_qinsert ignore into journalissuearticles values(-z);=1$,   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 

Keywords

Bernoulli numbers and polynomialsGenocchi polynomialsgenerating functionsgeneralized Genocchi polynomialsq Bernoulli polynomialsq Genocchi polynomialsq Euler polynomialsEuler number and polynomialsgeneralized Benoulli polynomials

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