Kilic, Nayil2025-03-232025-03-2320190381-7032https://hdl.handle.net/11486/7381In this paper, we investigate the split k- Jacobsthal and k- Jacobsthal-Lucas quaternions, we give the Binet formulas, generating functions and exponential generating functions of these quaternions. Also, we obtain the Catalan, Cassini and d'Ocagne identities for the split k- Jacobsthal and k- Jacobsthal-Lucas quaternions.eninfo:eu-repo/semantics/closedAccessRecurrence relationsQuaternionsGenerating functionsON SPLIT k- JACOBSTHAL AND k- JACOBSTHAL-LUCAS QUATERNIONSArticle142129139Q4WOS:000476580900010N/A