2013/08/28 by Nurkan, Semra Kaya, Güven, İlkay Arslan
#11B39 #11E88 #11R52 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1308.6772
In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. 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.