Abstract
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.