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)**

## Details

### 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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## Cite this paper

Gül, K. (2020). Dual bicomplex Horadam quaternions. *Notes on Number Theory and Discrete Mathematics*, 26 (4), 187-205, DOI: 10.7546/nntdm.2020.26.4.187-205.