Gürses, NurtenŞentürk, Gülsüm YelizYüce, Salim2023-10-312023-10-3120230862-79592464-7136https://hdl.handle.net/11363/6155https://doi.org/We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values ?, ? and p. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United Statesgeneralized quaterniondual-generalized complex numbermatrix representationArticle148332934810.21136/MB.2022.0096-212-s2.0-85170052638Q3WOS:000835603200001N/A