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

Ramírez, José L.

doi:10.1515/auom-2015-0037

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.

References

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

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