The Actions on the Generating Functions for the Family of the Generalized Bernoulli Polynomials

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ALKAN M., ŞİMŞEK Y.

FILOMAT, cilt.31, sa.1, ss.35-44, 2017 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1701035a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.35-44
  • Anahtar Kelimeler: Generalized Bernoulli numbers, Generalized Bernoulli polynomials, Frobenius-Euler numbers, Frobenius-Euler polynomials, Generating function, EULER NUMBERS, Q-EXTENSIONS, Q-ANALOG
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we study the generalization Bernoulli numbers and polynomials attached to a periodic group homomorphism from a finite cyclic group to the set of complex numbers and derive new periodic group homomorphism by using a fixed periodic group homomorphism. Hence, we obtain not only multiplication formulas, but also some new identities for the generalized Bernoulli polynomials attached to a periodic group homomorphism.