Several closed and determinantal forms for convolved Fibonacci numbers

Muhammet Cihat Dag; Feng Qi

doi:10.47443/dml.2021.0039

Author(s)

Muhammet Cihat Dag Department of Mathematics, Akdeniz University, Antalya 07058, Turkey

Feng Qi Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China; School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China

Abstract

In this paper, with the aid of the Fa`a 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.

Publication Details

Page(s) 14-20

DOI 10.47443/dml.2021.0039

Published Journal: Discrete Mathematics Letters, Volume: 7, Issue: 0, Year: 2021

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Keywords

closed form, Bell polynomial of the second kind, convolved Fibonacci number, Fibonacci number, Faa` di Bruno formula, determinantal form, Hessenberg determinant, tridiagonal determinant

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