On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory. This, in turn, gives new closed formulas concerning all sequences of this type such as the Fibonacci and Lucas sequences. Nex...

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Bibliographic Details

Published in:	Special Matrices
Main Authors:	Kaddoura Issam, Mourad Bassam
Format:	Article
Language:	English
Published:	De Gruyter 2024-06-01
Subjects:	difference equations fibonacci sequence lucas sequence pell sequence pell-lucas sequence jacobsthal sequence jacobsthal-lucas sequence chebychev polynomials fibonacci polynomials lucas polynomials generalized binet’s formula 11b39 65q30
Online Access:	https://doi.org/10.1515/spma-2023-0115