q-Fibonacci bicomplex and q-Lucas bicomplex numbers

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
Full paper (PDF, 252 Kb)

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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