Fibonacci identities via the determinant of tridiagonal matrix
type: Item
instance of: scholarly article
title: Fibonacci identities via the determinant of tridiagonal matrix
zbMATH Open document ID: 1218.11019
author: Jishe Feng
published in: Applied Mathematics and Computation
publication date: 2011-03-08T00:00:00Z
review text: Let \(F_n\) be the Fibonacci numbers. The author proves the identity \[ F_{m+n+1}=F_{m+1}F_{n+1}+F_m F_n \] using determinants of tridiagonal matrices.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 5862538
zbMATH Keywords: Fibonacci identity
zbMATH Keywords: determinant
zbMATH Keywords: tridiagonal matrix
MaRDI profile type: Publication
full work available at URL: j.amc.2010.12.025
OpenAlex ID: W2002599141
cites work: Q4881120
cites work: Q4672137
cites work: Q4799718
cites work: A generalization of tridiagonal matrix determinants, Fibonacci and Lucas numbers
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cites work: Fibonacci Determinants
cites work: Q4483705
DOI: 10.1016/J.AMC.2010.12.025
description: scientific article; zbMATH DE number 5862538