Generalized dual Fibonacci quaternions with dual coefficient

Fügen Torunbalcı Aydın
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 4, Pages 59–69
DOI: 10.7546/nntdm.2018.24.4.70-85
Full paper (PDF, 226 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 this paper, we defined the generalized dual Fibonacci quaternions with dual coefficient. Also, we investigated the relations between the generalized dual Fibonacci quaternions with dual coefficient. Furthermore, we gave the Binet’s formulas and Cassini identities for these quaternions.

Keywords

• Fibonacci number
• Generalized Fibonacci number
• Fibonacci quaternion
• Dual quaternion
• Dual Fibonacci quaternion
• Generalized dual Fibonacci quaternion

2010 Mathematics Subject Classification

• 11B37
• 11B39
• 11R52
• 20G20

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