On Dual Type Octonions and Their Properties
Turkish Journal of Mathematics and Computer Science, vol.17, no.1, pp.93-101, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 17 Issue: 1
- Publication Date: 2025
- Doi Number: 10.47000/tjmcs.1590392
- Journal Name: Turkish Journal of Mathematics and Computer Science
- Journal Indexes: Scopus
- Page Numbers: pp.93-101
- Keywords: De-Moivre formula, dual-type octonions, Euler’s formula, Galilean Geometry, Octonions
- Istanbul Gelisim University Affiliated: Yes
Abstract
In this study, we will define dual-type octonions by drawing inspiration from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and nonisotropic dual-type octonions, we present Euler’s and De Moivre’s formulas for dual-type octonions. Finally, we give a matrix representation of dual-type octonions.