Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions

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Authors

Jósé L. Ramírez · Sergio Arboleda University

Abstract

Abstract 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.

Topics & Keywords

Advanced Mathematical Theories and Applications Advanced Mathematical Theories

Publication Details

Published in: Analele Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 23, Issue 2, pp. 201-212

DOI: 10.1515/auom-2015-0037

Field-Weighted Citation Impact: 5.96

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Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions

Authors

Abstract

Topics & Keywords

Publication Details