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arXiv · 1810.03152

Third-order Jacobsthal Generalized Quaternions

Gamaliel Cerda-Morales
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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.

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BibTeXRIS

Gamaliel Cerda-Morales. 2018-10-07. Third-order Jacobsthal Generalized Quaternions. https://doi.org/10.7546/jgsp-50-2018-11-27

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