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2018 Third-Order Jacobsthal Generalized Quaternions
Gamaliel Cerda-Morales
J. Geom. Symmetry Phys. 50(none): 11-27 (2018). DOI: 10.7546/jgsp-50-2018-11-27

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.

Citation

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Gamaliel Cerda-Morales. "Third-Order Jacobsthal Generalized Quaternions." J. Geom. Symmetry Phys. 50 11 - 27, 2018. https://doi.org/10.7546/jgsp-50-2018-11-27

Information

Published: 2018
First available in Project Euclid: 26 January 2019

zbMATH: 07063858
MathSciNet: MR3929483
Digital Object Identifier: 10.7546/jgsp-50-2018-11-27

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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