A note on the bi-periodic Fibonacci and Lucas matrix sequences
Number Theory
2019-04-23 v1
Abstract
In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the important relationships between the bi-periodic Fibonacci and Lucas matrix sequences. We express that some behaviours of bi-periodic Lucas numbers also can be obtained by considering properties of this new matrix sequence. Finally, we say that the matrix sequences as Lucas, -Lucas and Pell-Lucas are special cases of this generalized matrix sequence.
Keywords
Cite
@article{arxiv.1604.00766,
title = {A note on the bi-periodic Fibonacci and Lucas matrix sequences},
author = {Arzu Coskun and Nazmiye Yilmaz and Necati Taskara},
journal= {arXiv preprint arXiv:1604.00766},
year = {2019}
}