Cerda-Morales, Gamaliel (2020) A note on dual third-order Jacobsthal vectors. Annales Mathematicae et Informaticae, 52. pp. 57-70. ISSN 1787-6117
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Abstract
Third-order Jacobsthal quaternions are first defined by [5]. In this study, dual third-order Jacobsthal and dual third-order Jacobsthal–Lucas numbers are defined. Furthermore, we work on these dual numbers and we obtain the properties e.g. linear and quadratic identities, summation, norm, negative dual third-order Jacobsthal identities, Binet formulas and relations of them. We also define new vectors which are called dual third-order Jacobsthal vectors and dual third-order Jacobsthal–Lucas vectors. We give properties of these vectors to exert in geometry of dual space.
Item Type: | Article |
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Uncontrolled Keywords: | Dual numbers, Jacobsthal numbers, Recurrences, Third-order Jacobsthal numbers, Third-order Jacobsthal–Lucas numbers |
Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
Depositing User: | Tibor Gál |
Date Deposited: | 17 Dec 2020 17:13 |
Last Modified: | 03 Apr 2023 07:05 |
URI: | http://real.mtak.hu/id/eprint/118486 |
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