Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
| Apr 22, 2017
About this article
Published Online: Apr 22, 2017
Page range: 201 - 212
Received: Jan 01, 2014
Accepted: Jun 01, 2014
DOI: https://doi.org/10.1515/auom-2015-0037
Keywords
© 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.