Open Access
Translator Disclaimer
2014 Complex Factorizations of the Lucas Sequences via Matrix Methods
Honglin Wu
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/387675

Abstract

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.

Citation

Download Citation

Honglin Wu. "Complex Factorizations of the Lucas Sequences via Matrix Methods." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/387675

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010618
MathSciNet: MR3166761
Digital Object Identifier: 10.1155/2014/387675

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.2014 • 2014
Back to Top