Several closed and determinantal forms for convolved fibonacci numbers

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DAĞLI M. C., Qi F.

Discrete Mathematics Letters, cilt.7, ss.14-20, 2021 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.47443/dml.2021.0039
  • Dergi Adı: Discrete Mathematics Letters
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.14-20
  • Anahtar Kelimeler: Bell polynomial of the second kind, Closed form, Convolved Fibonacci number, Determinantal form, Faà di Bruno formula, Fibonacci number, Hessenberg determinant, Tridiagonal determinant
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

© 2021 the authors.In this paper, with the aid of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and a general derivative formula for a ratio of two differentiable functions, the authors establish several closed and determinantal forms for convolved Fibonacci numbers.