TOKESER, UMIT and UNAL, ZAFER (2022) SPLIT DUAL JACOBSTHAL AND JACOBSTHAL-LUCAS QUATERNIONS. Asian Journal of Mathematics and Computer Research, 29 (3). pp. 1-9. ISSN 2395-4213
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Official URL: https://doi.org/10.56557/ajomcor/2022/v29i37938
Abstract
Many researchs have been studied on quaternions since Hamilton introduced them to the literature in 1843. In our paper, we gave split dual Jacobsthal (SDJ) and split dual Jacobsthal-Lucas (SDJL) quaternions over the algebra H(μ,n) with the basis {1; e1; e2; e3}, where μ,n ∈ Z. Binet like formulaes are obtained for these quaternions. Also, given Vajda identities for SDJ and SDJL quaternions.As a special case of Vajda identities, d'Ocagne's, Cassini's and Catalan's identities are represented.
Item Type: | Article |
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Subjects: | Universal Eprints > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 09 Dec 2023 03:40 |
Last Modified: | 09 Dec 2023 03:40 |
URI: | http://journal.article2publish.com/id/eprint/3364 |