On dual bicomplex numbers and their some algebraic properties

Abstract

The object of this work is to contribute to the development of bicomplex numbers. For this purpose, in this study we firstly introduced bicomplex numbers with coefficients from complex Fibonacci sequence. And then, using Babadag's work[1], we examined the dual form of the newly defined numbers. Moreover, we gave some fundamental identities such as Cassini and Catalan identities provided by the elements in defined sequence.