On Fibonacci and Lucas Generalized Octonions

BİLGİCİ G., ÜNAL Z., TOKEŞER Ü., MERT T.

ARS COMBINATORIA, cilt.138, ss.35-44, 2018 (SCI-Expanded) identifier

  • 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.