The generalized bi-periodic Fibonacci quaternions and octonions
Number Theory
2018-02-19 v1
Abstract
In this paper, we present a further generalization of the bi- periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions. The results of this paper not only give a generalization of the bi-periodic Fibonacci quaternions and octonions, but also include new results such as the matrix representation and the norm value of the generalized bi-periodic Fibonacci quaternions.
Keywords
Cite
@article{arxiv.1802.05897,
title = {The generalized bi-periodic Fibonacci quaternions and octonions},
author = {Elif Tan and Murat Şahin and Semih Yılmaz},
journal= {arXiv preprint arXiv:1802.05897},
year = {2018}
}