Dual Fibonacci Quaternions
Advances in Applied Clifford Algebras, vol.25, no.2, pp.403-414, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 2
- Publication Date: 2015
- Doi Number: 10.1007/s00006-014-0488-7
- Journal Name: Advances in Applied Clifford Algebras
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.403-414
- Keywords: Fibonacci quaternion, dual Fibonacci quaternion, dual Lucas quaternion
- Uşak University Affiliated: Yes
Abstract
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.