Working Paper Article Version 1 This version is not peer-reviewed

Hyper-Dual Horadam Quaternions

Version 1 : Received: 14 March 2021 / Approved: 17 March 2021 / Online: 17 March 2021 (11:02:31 CET)

How to cite: Tan, E.; Ait-Amrane, N.R.; Gok, I. Hyper-Dual Horadam Quaternions. Preprints 2021, 2021030435 Tan, E.; Ait-Amrane, N.R.; Gok, I. Hyper-Dual Horadam Quaternions. Preprints 2021, 2021030435

Abstract

This paper deals with developing a new class of quaternions, called hyper-dual Horadam quaternions which are constructed from the quaternions whose components are hyper-dual Horadam numbers. We investigate the algebraic properties of these quaternions.

Keywords

Dual numbers; hyper-dual numbers; dual quaternions; Fibonacci numbers; hyper-dual Horadam quaternions

Subject

Computer Science and Mathematics, Algebra and Number Theory

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