Split Fibonacci Quaternions

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• 作者：Mahmut Akyi?it (1)
  Hidayet Hüda K?sal (1)
  Murat Tosun (1)
  
• 关键词：Split Fibonacci Quaternion ; Split Lucas Quaternion
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：23
• 期：3
• 页码：535-545
• 全文大小：271KB
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• 作者单位：Mahmut Akyi?it (1)
  Hidayet Hüda K?sal (1)
  Murat Tosun (1)
  
  1. Faculty of Arts and Sciences, Department of Mathematics, Sakarya University, Sakarya, Turkey
  

文摘

Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations between the split Fibonacci, split Lucas and the split generalized Fibonacci quaternions. Moreover, we give Binet formulas and Cassini identities for these quaternions.