Dual bicomplex Horadam quaternions

Kübra Gül
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367-8275
Volume 26, 2020, Number 4, Pages 187–205
DOI: 10.7546/nntdm.2020.26.4.187-205
Full paper (PDF, 156 Kb)

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Authors and affiliations

Kübra Gül
Department of Computer Engineering, University of Kafkas
Kars, Turkey

Abstract

The aim of this work is to introduce a generalization of dual quaternions called dual bicomplex Horadam quaternions and to present some properties, the Binet’s formula, Catalan’s identity, Cassini’s identity and the summation formula for this type of bicomplex quaternions. Furthermore, several identities for dual bicomplex Fibonacci quaternions are given.

Keywords

• Bicomplex number
• Dual number
• Fibonacci number
• Horadam number
• Bicomplex quaternion
• Dual quaternion.

2010 Mathematics Subject Classification

• 11B83
• 05A15
• 11R52

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