Generating functions for q-Apostol type Frobenius-Euler numbers and polynomials

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ŞİMŞEK Y.

Axioms, cilt.1, sa.3, ss.395-403, 2012 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3390/axioms1030395
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.395-403
  • Anahtar Kelimeler: Euler Numbers, Frobenius-Euler Numbers, Frobenius-Euler polynomials, Generating function, Q-Frobenius-Euler polynomials, Q-series
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2012 by the author.The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius-Euler polynomials and numbers). We derive some identities for these polynomials and numbers based on the generating functions and functional equations. We also give multiplication formula for the generalized Apostol type Frobenius-Euler polynomials.