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

Year 2015, Volume: 44 Issue: 6, 1397 - 1404, 01.12.2015

Veli Kurt

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 

Keywords

Bernoulli numbers and polynomials, Genocchi polynomials, generating functions, generalized Genocchi polynomials, q-Bernoulli polynomials, q-Genocchi polynomials, q-Euler polynomials, Euler number and polynomials, generalized Benoulli polynomials

References

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