Multicomponent hybrid numbers: On algebraic properties and matrix representations of hybrid-hyperbolic numbers
- 7 February 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 28 (1), 26-40
- https://doi.org/10.7546/nntdm.2022.28.1.26-40
Abstract
In this study, the hybrid-hyperbolic numbers are introduced. This number system is a more general form of the hybrid number system, which is an interesting number system, as well as a number system that includes multicomponent number systems (i.e., complex-hyperbolic, dual-hyperbolic and bihyperbolic numbers). In this paper, we give algebraic properties of hybrid hyperbolic numbers. In addition, 2 x 2 and 4 x 4 hyperbolic matrix representations of hybrid hyperbolic numbers are given and some properties of them are examined.Keywords
This publication has 3 references indexed in Scilit:
- Algebraic Properties of Bihyperbolic NumbersAdvances in Applied Clifford Algebras, 2020
- A Study on Dual Hyperbolic Fibonacci and Lucas NumbersAnalele Universitatii "Ovidius" Constanta - Seria Matematica, 2019
- Introduction to Hybrid NumbersAdvances in Applied Clifford Algebras, 2018