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math.NT2015★ 18 cited
A Note On Bicomplex Fibonacci and Lucas Numbers
Semra Kaya Nurkan, İlkay Arslan Güven
In this study, we define a new type of Fibonacci and Lucas num- bers which are called bicomplex Fibonacci and bicomplex Lucas numbers. We obtain the well-known properties e.g. Doca…
math.NT2013
Dual Fibonacci Quaternions
Semra Kaya Nurkan, İlkay Arslan Güven
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 connecte…