Title of article :
The Sequences of the Hyperbolic k-Perrin and k-Leonardo Quaternions
Author/Authors :
Mangueira ، Milena Carolina dos Santos Department of Mathematics - Federal Institute of Education, Science and Techonology of State of Ceara (IFCE), Post-Graduate Program in Education of the Nordeste Education Network (Polo RENOEN) - Federal University of Ceara (UFC) , Vieira ، Renata Passos Machado Department of Mathematics - Post-Graduate Program in Education of the Nordeste Education Network (Polo RENOEN) - Federal University of Ceara (UFC) , Alves ، Francisco Regis Vieira Department of Mathematics - Federal Institute of Education, Science and Techonology of State of Ceara (IFCE) , Catarino ، Paula Maria Machado Cruz Department of Mathematics - Universidade de Tras-os-Montes e Alto Douro (UTAD)
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-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.
Keywords :
k , Perrin sequence , k , Leonardo sequence , quaternions , hyperbolic
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)
