Dual Fibonacci Quaternions

作者：Nurkan Semra Kaya; Guven Ilkay Arslan^*

来源：Advances in Applied Clifford Algebras, 2015, 25(2): 403-414.

DOI：10.1007/s00006-014-0488-7

• Fibonacci quaternion
• dual Fibonacci quaternion
• dual Lucas quaternion

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.

• 出版日期2015-6