ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS
In this paper, we investigate the k-Jacobsthal octonions and the k-Jacobsthal-Lucas octonions, we give the Binet formulas, generating functions and exponential generating functions of these octonions. Indeed, we obtain the Catalan, Cassini and d’Ocagne identities for k-Jacobsthal and k-Jacobsthal-Lucas octonions.
generating functions, k-Jacobsthal octonions, k-Jacobsthal-Lucas octonions, k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers.
