On Dual Type Octonions and Their Properties
Turkish Journal of Mathematics and Computer Science, cilt.17, sa.1, ss.93-101, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.47000/tjmcs.1590392
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.93-101
- Anahtar Kelimeler: De-Moivre formula, dual-type octonions, Euler’s formula, Galilean Geometry, Octonions
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
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.