On a generalization of dual-generalized complex Fibonacci quaternions

Abstract

In this study, we introduce a new class of generalized quaternions whose components are dual-generalized complex Horadam numbers. We investigate some algebraic properties of them.

On unrestricted dual-generalized complex Horadam numbers

“…1 1 w 0 w 1 Hyper-dual Fibonacci numbers [22] x = 1, y = 2, and z = 3, the unrestricted dual-generalized complex Horadam numbers w (x,y,z) n reduce to the conventional dual generalized complex Horadam numbers in [23].…”

“…Furthermore, Gurses et al [12] innovatively presented the dual-generalized complex Fibonacci quaternions, utilizing dual Fibonacci numbers as coefficients in lieu of real numbers. Recently, Tan and Ocal [23] introduced the dual generalized complex Horadam quaternions.…”