On Horadam quaternions by using matrix method
Number Theory
2019-10-10 v1
Abstract
In this paper, we give several matrix representations for the Horadam quaternions. We derive several identities related to these quaternions by using the matrix method. Since quaternion multiplication is not commutative, some of our results are non-commutative analogues of the well known identities for the Fibonacci-like integer sequences. Lastly, we derive some binomial-sum identities for the Horadam quaternions as an application of the matrix method.
Cite
@article{arxiv.1910.04136,
title = {On Horadam quaternions by using matrix method},
author = {Elif Tan and Ho-Hon Leung},
journal= {arXiv preprint arXiv:1910.04136},
year = {2019}
}