Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
| 22. Apr. 2017
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Online veröffentlicht: 22. Apr. 2017
Seitenbereich: 201 - 212
Eingereicht: 01. Jan. 2014
Akzeptiert: 01. Juni 2014
DOI: https://doi.org/10.1515/auom-2015-0037
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we define the k-Fibonacci and the k-Lucas quaternions. We investigate the generating functions and Binet formulas for these quaternions. In addition, we derive some sums formulas and identities such as Cassini’s identity.