Integer powers of complex anti-tridiagonal matrices and some complex factorizations
Number Theory
2014-06-13 v1
Abstract
In this paper, we obtain a general expression for the entries of the rth power of a certain n-square complex anti-tridiagonal matrix where if n is odd, r is integer or if n is even, r is natural number. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.
Cite
@article{arxiv.1406.3184,
title = {Integer powers of complex anti-tridiagonal matrices and some complex factorizations},
author = {Durmuş Bozkurt and H. Kübra Duru},
journal= {arXiv preprint arXiv:1406.3184},
year = {2014}
}