Dual Fibonacci Quaternions
Number Theory
2013-09-02 v1
Abstract
In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
Keywords
Cite
@article{arxiv.1308.6772,
title = {Dual Fibonacci Quaternions},
author = {Semra Kaya Nurkan and İlkay Arslan Güven},
journal= {arXiv preprint arXiv:1308.6772},
year = {2013}
}
Comments
13 pages