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

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.

Bibliographic Details
Published in:	Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Main Author:	Ramírez José L.
Format:	Article
Language:	English
Published:	Sciendo 2015-06-01
Subjects:	k-fibonacci numbers k-lucas numbers quaternions generating function
Online Access:	https://doi.org/10.1515/auom-2015-0037

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