BRINGING TOGETHER DUAL-GENERALIZED COMPLEX NUMBERS AND DUAL QUATERNIONS VIA FIBONACCI AND LUCAS NUMBERS

Abstract

In this study, the main target is to construct a bridge between dual quaternions and dual-generalized complex numbers via Fibonacci and Lucas numbers for p is an element of R. For this purpose, the algebraic structures and the well-known recurrence relations are investigated. Different matrix representations are improved, and examples are presented.