JOURNAL OF SCIENCE AND ARTS, sa.3, ss.469-476, 2017 (ESCI)
In this paper, we generalize Jacobsthal and Jacobsthal-Lucas quaternions to k-Jacobsthal and k-Jacobsthal-Lucas quaternions. We give Binet-like formulas, generating functions and matrix representation of k-Jacobsthal quaternions and kJacobsthal-Lucas quaternions.