Some Identities on the Generalized q-Bernoulli, q-Euler, and q-Genocchi Polynomials

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Kim D., KURT B., Kurt V.

ABSTRACT AND APPLIED ANALYSIS, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/293532
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Mahmudov (2012, 2013) introduced and investigated some q-extensions of the q-Bernoulli polynomials B-n,q((alpha)) (x,y) of order alpha the q-Euler polynomials E-n,q((alpha))(x,y) of order alpha and the q-Genocchi polynomials G(n,q)((alpha))(x,y) of order alpha In this paper, we give some identities for B-n,q((alpha))(x,y), G(n,q)((alpha))(x,y) and E-n,q((alpha))(x,y) and the recurrence relations between these polynomials. This is an analogous result to the q-extension of the Srivastava- Pinter addition theorem in Mahmudov (2013).