Third-order Jacobsthal Generalized Quaternions
Rings and Algebras
2019-01-31 v1
Abstract
In this paper, the third-order Jacobsthal generalized quaternions are introduced. We use the well-known identities related to the third-order Jacobsthal and third-order Jacobsthal-Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the third-order Jacobsthal generalized quaternions are classified by considering the special cases of quaternionic units. We derive the relations between third-order Jacobsthal and third-order Jacobsthal-Lucas generalized quaternions.
Keywords
Cite
@article{arxiv.1810.03152,
title = {Third-order Jacobsthal Generalized Quaternions},
author = {Gamaliel Cerda-Morales},
journal= {arXiv preprint arXiv:1810.03152},
year = {2019}
}
Comments
Submitted to Journal. 16 pages