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

Kurt V.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, sa.6, ss.1397-1404, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449681
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1397-1404
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.