SOME PROPERTIES OF THE k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS GENERALIZED OCTONIONS
RAGEA AHMED BOHAGR *
Department of Mathematics, Faculty of Science, Bengazi University, Libya and Department of Mathematics, Faculty of Sciene and Arts, Kastamonu University, Turkey.
UMIT TOKESER
Department of Mathematics, Faculty of Sciene and Arts, Kastamonu University, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper we defined the sequence of k-Jacobsthal numbers and k-Jacobsthal-Lucas numbers. After that we defined the k-Jacobsthal and k-Jacobsthal-Lucas generalized octonions and we investigate some properties of these elements.
Keywords: k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers, k-Jacobsthal generalized octonions, k-Jacobsthal-Lucas generalized octonions