Fügen Torunbalcı Aydın

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 2, Pages 261–275

DOI: 10.7546/nntdm.2022.28.2.261-275

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## Details

### Authors and affiliations

**Fügen Torunbalcı Aydın **

*Yildiz Technical University, Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering
Davutpasa Campus, 34220, Esenler, Istanbul, Turkey*

### Abstract

In the paper, we define the *q*-Fibonacci bicomplex numbers and the *q*-Lucas bicomplex numbers, respectively. Then, we give some algebraic properties of the *q*-Fibonacci bicomplex numbers and the *q*-Lucas bicomplex numbers.

### Keywords

- Bicomplex number
*q*-integer (*q*-number)- Fibonacci number
- Bicomplex Fibonacci number
*q*-Fibonacci number.

### 2020 Mathematics Subject Classification

- 11B37
- 11B39
- 11R52
- 05A15

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### Manuscript history

- Received: 23 September 2021
- Revised: 23 April 2022
- Accepted: 5 May 2022
- Online First: 6 May 2022

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## Cite this paper

Aydın Torunbalcı, F. (2022). *q*-Fibonacci bicomplex and *q*-Lucas bicomplex numbers. *Notes on Number Theory and Discrete Mathematics*, 28(2), 261-275, DOI: 10.7546/nntdm.2022.28.2.261-275.