Advances in Applied Clifford Algebras

, Volume 25, Issue 4, pp 905–914 | Cite as

On Dual Fibonacci Octonions

Article
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Abstract

In this study, we define the dual Fibonacci octonions and consider the dual Fibonacci quaternions. We investigate some fundamental algebraic properties of the Fibonacci octonions and quaternions. In addition we give the Binet formulas and the generating functions of them.

Keywords

Recurrence relations Fibonacci sequence Quaternions Octonions 

Mathematics Subject Classification

11B37 11B39 20G20 15A66 
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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of MathematicsPamukkale UniversityDenizliTurkey

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