Several closed and determinantal forms for convolved fibonacci numbers

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DAĞLI M. C., Qi F.

Discrete Mathematics Letters, vol.7, pp.14-20, 2021 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7
  • Publication Date: 2021
  • Doi Number: 10.47443/dml.2021.0039
  • Journal Name: Discrete Mathematics Letters
  • Journal Indexes: Scopus
  • Page Numbers: pp.14-20
  • Keywords: Bell polynomial of the second kind, Closed form, Convolved Fibonacci number, Determinantal form, Faà di Bruno formula, Fibonacci number, Hessenberg determinant, Tridiagonal determinant
  • Akdeniz University Affiliated: Yes

Abstract

© 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.