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Advances in Applied Clifford Algebras

, Volume 22, Issue 2, pp 321–327 | Cite as

On Fibonacci Quaternions

  • Serpil Halici
Article

Abstract

In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.

Keywords

Recurrence relations Fibonacci numbers quaternions 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Arts and SciencesSakarya UniversitySakaryaTurkey

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