Şentürk, Gülsüm YelizGürses, NurtenYüce, Salim2023-09-282023-09-2820222075-98272313-0210https://hdl.handle.net/11363/5686https://doi.org/The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet’s formulas, Tagiuri’s (or Vajda’s like), Honsberger’s, d’Ocagne’s, Cassini’s and Catalan’s identities are obtained. A series of matrix representations of these special quaternions is introduced. Finally, the multiplication of dual-generalized complex Fibonacci and Lucas quaternions are also expressed as their different matrix representations.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United Statesquaterniondual-generalized complex numberFibonacci numberLucas numberArticle14240641810.15330/cmp.14.2.406-4182-s2.0-85145699967Q2WOS:000910041000010N/A