Indian Journal of Pure and Applied Mathematics, cilt.53, sa.4, ss.956-967, 2022 (SCI-Expanded)
In this paper, we introduce the hyperbolic k- Jacobsthal and k- Jacobsthal-Lucas quaternions. We present generating functions, Binet formula, Catalan’s identity, Vajda’s identity etc. for the hyperbolic k-Jacobsthal and k- Jacobsthal-Lucas quaternions.