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arxiv: 1308.6772 · v1 · pith:FYWFHSDZnew · submitted 2013-08-28 · 🧮 math.NT

Dual Fibonacci Quaternions

classification 🧮 math.NT
keywords dualfibonaccilucasquaternionquaternionsbinetcassiniconnected
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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.

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