On Pell and Pell-Lucas Generalized Octonions

Abstract

In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra O(a, b, c) where a, b and c are real numbers. For these number sequences, we obtain Binet formulas and gave some wellknown identities such as Catalan’s identity, Cassini’s identity and d’Ocagne’s identity.