Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
| 22 apr 2017
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 22 apr 2017
Pagine: 201 - 212
Ricevuto: 01 gen 2014
Accettato: 01 giu 2014
DOI: https://doi.org/10.1515/auom-2015-0037
Parole chiave
© 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.