Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
| 22 avr. 2017
À propos de cet article
Publié en ligne: 22 avr. 2017
Pages: 201 - 212
Reçu: 01 janv. 2014
Accepté: 01 juin 2014
DOI: https://doi.org/10.1515/auom-2015-0037
Mots clés
© 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.