The Sequences of the Hyperbolic k-Perrin and k-Leonardo Quaternions.

In this article, hyperbolic k-Perrin and k-Leonardo quaternions are defined. In this sense, bulletin, are evaluated as sequences of k-Perrin and k-Leonardo, their respective quaternions and thus the definition of hyperbolic quaternions. Thus, there are some algebraic properties around numbers, generating function, Binet's formula and properties inherent to these numbers. [ABSTRACT FROM AUTHOR]