Fibonacci Generalized Quaternions

Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat

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Fibonacci Generalized Quaternions

Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat

URI: https://hdl.handle.net/20.500.12619/6203
https://doi.org/10.1007/s00006-014-0458-0

Date: 2014

Abstract:

In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci generalized quaternions are classified by considering the special cases of quaternionic units.

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