Gürses, NurtenŞentürk, Gülsüm YelizYüce, Salim2023-10-112023-10-1120221304-72051304-7191https://hdl.handle.net/11363/5839https://doi.org/This paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations. Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and dual-hyperbolic situations as special cases and allows general contributions to the literature for all real number p. For this purpose, Binet’s formulas along with Tagiuri’s, Hornsberger’s, D’Ocagne’s, Cassini’s and Catalan’s identities, are calculated for dual-generalized complex Fibonacci and Lucas numbers. Finally, the results are given, and the special cases for this unification are classified.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United StatesDual-generalized complex numbersFibonacci numbersLucas numbers MSC 201011B3911B83A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbersArticle40117918710.14744/sigma.2022.000142-s2.0-85145682278N/AWOS:000777898300012N/A