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

Kurt V.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.44, no.6, pp.1397-1404, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.15672/hjms.2015449681
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1397-1404
  • Keywords: Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi polynomials, generating functions, generalized Bernoulli polynomials, generalized Genocchi polynomials, q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials, APOSTOL-BERNOULLI, Q-EXTENSIONS, FORMULA, ORDER
  • Akdeniz University Affiliated: Yes

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.