Kizilaslan, GoncaKarabulut, Leyla2025-01-212025-01-2120231310-51322367-8275https://doi.org/10.7546/nntdm.2023.29.2.310-321https://hdl.handle.net/20.500.12587/25841We define a generalization of Tribonacci and Tribonacci-Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci-Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions. Furthermore, several sum formulas and a matrix representation are obtained.eninfo:eu-repo/semantics/openAccessQuaternion; Recurrences; Integer sequencesArticle29231032110.7546/nntdm.2023.29.2.310-321WOS:000989371300001Q4