On fibonacci and lucas generalized octonions

Authors :: Goksal Bilgici
Ünal, Z.
Togeşer, U.
Mert, T.
[Bilgici, Goksal] Kastamonu Univ, Educ Fac, Dept Comp Educ & Instruct Technol, Kastamonu, Turkey -- [Unal, Zafer -- Tokeser, Umit] Kastamonu Univ, Fac Arts & Sci, Dept Math, Kastamonu, Turkey -- [Mert, Tugba] Cumhuriyet Univ, Fac Arts & Sci, Dept Math, Sivas, Turkey
UNAL, ZAFER -- 0000-0003-2445-1028
Source :: Scopus-Elsevier
Abstract: WOS: 000430156300004<br />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.

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