THE SEQUENCE OF THE HYPERBOLIC k-PERRIN AND k-LEONARDO QUATERNIONS

Milena Carolina dos Santos Mangueira, RENATA PASSOS MACHADO VIEIRA, FRANCISCO RÉGIS VIEIRA ALVES, PAULA MARIA MACHADO CRUZ CATARINO

Abstract


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-Leornado, 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.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.