Some identities involving (p,q)-Fibonacci and Lucas quaternions

Authors : Gamaliel CERDA-MORALES

Pages : 1104-1110

Doi:10.31801/cfsuasmas.696617

View : 13 | Download : 6

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :In this study, we firstly examined the Horadam quaternions defined and studied by Halici and Karataş. Then, we used the Binet`s formula to show some properties of the insert ignore into journalissuearticles values(p,q);-Fibonacci and Lucas quaternions. We also give some important identities including these quaternions. In this paper we have also contributed for the study of insert ignore into journalissuearticles values(p,q);-Fibonacci and Lucas quaternion sequence, deducing some of their identities using the Binet-style formula of Horadam quaternions. It is our intention to continue the study of this type of sequences, exploring some their applications in the science domain.
Keywords : Generalized Fibonacci quaternion, Generalized Lucas Sequence, Lucas Number