Isbilir, ZehraGuerses, Nurten2024-08-232024-08-2320231406-22832228-4699https://doi.org/10.12697/ACUTM.2023.27.17https://hdl.handle.net/20.500.12684/14037This manuscript deals with introducing and discussing of a new type dual quaternions which are named generalized Tribonacci dual quaternions (GTDQ, for short). For this purpose, several new properties, such as Binet formula, generating function, exponential generating function, matrix formula, and determinant equations, are established. In addition to these, some numerical algorithms are constructed. In the last part, some special cases of the family of the GTDQ are examined regarding r, s, t values and initial values considering concluded results.en10.12697/ACUTM.2023.27.17info:eu-repo/semantics/openAccessGeneralized Tribonacci numbersdual quaternionsgeneralized Tribonacci dual quaternionsFibonacci NumbersOmicron VariantPerrinExamination of generalized Tribonacci dual quaternionsArticle2722352552-s2.0-85178942310WOS:001117596900001Q4Q4