Integer powers of certain complex tridiagonal matrices and some complex factorizations

In this paper, we obtain a general expression for the entries of the r. (r is integer) power of a certain n-square complex tridiagonal matrix. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.

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Bibliographic Details
Published in:arXiv.org 2014-03
Main Authors: Bozkurt, Durmuş, \c{S}erife Burcu Bozkurt
Format: Article
Language:English
Subjects:
Fibonacci numbers
Integers
Polynomials
Online Access:Get full text
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Description
Summary:In this paper, we obtain a general expression for the entries of the r. (r is integer) power of a certain n-square complex tridiagonal matrix. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.
ISSN:2331-8422