On Fibonacci and Lucas Generalized Octonions
ARS COMBINATORIA, cilt.138, ss.35-44, 2018 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 138
- Basım Tarihi: 2018
- Dergi Adı: ARS COMBINATORIA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.35-44
- Anahtar Kelimeler: Generalized octonion, Fibonacci octonion, Lucas octonion
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
We study on Fibonacci and Lucas generalized octonions over the algebra O(a, b, c) where a, b and c are real numbers. We obtain Binet formulas for the Fibonacci and Lucas generalized octonions. Also, we give many identities for these octonions including Catalan's identity, Cassini's identity and d'Ocagne's identity.