Published: 2021-04-01

Page: 1-6


Department of Mathematics, Faculty of Science, Bengazi University, Libya.


Department of Mathematics, Faculty of Sciene and Arts, Kastamonu University, Turkey.

*Author to whom correspondence should be addressed.


In this paper we defined the k-Jacobsthal sequence {Jk,n}, the k-Jacobsthal-Lucas sequence {jk,n} and the Binet like formula of them. We study on k-Jacobsthal and k-Jacobsthal Lucas octonions over the algebra QR where the α, β and γ are real numbers, after that by definition of k-Jacobsthal {Jˆk,n} and k-Jacobsthal Lucas {ˆjk,n} generalized octonions we obtain Binet formulas for these octonins. Finally, for these octonions we introduce Catalan’s identity, Cassini’s identity and D’ocagne’s identity. 

Keywords: kJacobsthal numbers, kJacobsthal Lucas numbers, Generalized octonion, Genrating function, k-Jacobsthal octonion, k-Jacobsthal Lucas octonion

How to Cite

BOHAGR, R. A., & TOKESER, U. (2021). k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS GENERALIZED OCTONIONS. Asian Journal of Mathematics and Computer Research, 28(1), 1–6. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/6151


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