Complex factorizations of the Lucas sequences via matrix methods
type: Item
instance of: scholarly article
title: Complex factorizations of the Lucas sequences via matrix methods
zbMATH Open document ID: 1406.11016
DOI: 10.1155/2014/387675
author: Honglin Wu
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev polynomials of the second kind. Furthermore, we also obtain the complex factorizations of the second Lucas sequence by the similar matrix method using Chebyshev polynomials of the first kind.
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 7010618
Wikidata QID: Q59051177
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/387675
OpenAlex ID: W1967242940
description: scientific article; zbMATH DE number 7010618