On Fibonacci and Lucas Generalized Octonions


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

ARS COMBINATORIA, cilt.138, ss.35-44, 2018 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 138
  • Basım Tarihi: 2018
  • Dergi Adı: ARS COMBINATORIA
  • Sayfa Sayıları: ss.35-44

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.