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

By José Luis Ramírez. 2015

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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.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/192149092e818bdd110d90dbb46bcb1dea1e95c7