On Fibonacci Quaternions

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in applied Clifford algebras 2012-06, Vol.22 (2), p.321-327
1. Verfasser:	Halici, Serpil
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0188-7009 1661-4909
DOI:	10.1007/s00006-011-0317-1