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

Authors

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

DOI:

https://doi.org/10.30495/jme.v17i0.2250

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.

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Published

2023-05-07

Issue

Section

Vol. 17, No. 4, (2023)