Köme, SureKöme, CahitYazlık, Yasin2021-11-292021-11-292021-06-30https://doi.org/10.31801/cfsuasmas.780861http://hdl.handle.net/20.500.12575/76450The purpose of this paper is to provide a broad overview of the generalization of the various dual-complex number sequences, especially in the disciplines of mathematics and physics. By the help of dual numbers and dual-complex numbers, in this paper, we define the dual-complex generalized k-Horadam numbers. Furthermore, we investigate the Binet formula, generating function, some conjugation identities, summation formula and a theorem which is generalization of the Catalan's identity, Cassini's identity and d'Ocagne's identity.enDual NumbersDual-Complex NumbersGeneralized k-Horadam NumbersArticle7011171292618-6470