Cerda-Morales, Gamaliel (2020) A note on dual third-order Jacobsthal vectors Annales Mathematicae et Informaticae. 52. pp. 57-70. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Absztrakt (kivonat)
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.
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Kulcsszavak: | Keywords: Dual numbers, Jacobsthal numbers, Recurrences, Third-order Jacobsthal numbers, Third-order Jacobsthal–Lucas numbers | ||||||||
Nyelv: | angol | ||||||||
Kötetszám: | 52. | ||||||||
DOI azonosító: | 10.33039/ami.2020.05.003 | ||||||||
ISSN: | 1787-5021 (Print) 1787-6117 (Online) | ||||||||
Felhasználó: | Tibor Gál | ||||||||
Dátum: | 11 Máj 2020 07:18 | ||||||||
Utolsó módosítás: | 17 Dec 2020 13:57 | ||||||||
URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/5003 |
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