REAL

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

[img]
Preview
Text
AMI_52_from57to70.pdf - Published Version

Download (696kB) | Preview

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
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

Actions (login required)

Edit Item Edit Item