Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions

Document Type : Research Articles

Authors

1 Mathematics, Faculity of Science, Cumhuriyet University, Sivas, Turkey

2 Department of Mathematics, Faculty of Arts and Sciences,Kastamonu University, Kastamonu, Turkey

3 Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Kastamonu, Turkey

4 Department of Computer Education and Instructional Technology , Education Faculty, Kastamonu University, Kastamonu, Turkey

Abstract

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.

Keywords

Caspian Journal of Mathematical Sciences
Volume 11, Issue 1
2022
Pages 15-25

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