A note on dual third-order Jacobsthal vectors

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.

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