On Dual Type Octonions and Their Properties
In this study, we will define dual-type octonions by drawing inspiring from dual quaternions and Galilean geometry. Besides giving the basic properties of dual-type octonions and defining isotropic and non-isotropic 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.
Authors
- Ferhat Kürüz (ORCID: https://orcid.org/0000-0001-6197-4958)
- Ali Dağdeviren (ORCID: https://orcid.org/0000-0003-4887-405X)
Institutions
- Ahmet Yesevi University (KZ)
- İstanbul Gelişim Üniversitesi (TR)
Publication Details
- Journal
- Turkish Journal of Mathematics and Computer Science
- Published
- 2025-06-29
- DOI
- https://doi.org/10.47000/tjmcs.1590392
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00