Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions

We study on Jacobsthal and Jacobsthal-Lucas generalized octonions over the algebra O(a,b,c) where a,b and c are real numbers. We present Binet formulas for these types of octonions. Furthermore, we give some well-known identities such as Catalan's, Cassini's, d'Ocagne's identities and other special identities for Jacobsthal and Jacobsthal-Lucas generalized octonions.

کلیدواژه ها:

Generalized octonion ، Jacobsthal octonion ، Jacobsthal-Lucas octonion