Dual Fibonacci Quaternions

In this study, we define the dual Fibonacci quaternion and the dual Lucas quaternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2015-06, Vol.25 (2), p.403-414
Main Authors: Nurkan, Semra Kaya, Güven, İkay Arslan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
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Summary:In this study, we define the dual Fibonacci quaternion and the dual Lucas quaternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-014-0488-7