Hybrid Quaternions of Leonardo

Authors

DOI:

https://doi.org/10.5540/tcam.2022.023.01.00051

Keywords:

Leonardo sequence, hybrid Leonardo quaternions, hybrid numbers

Abstract

In this article, we intend to investigate the Leonardo sequence presenting the hybrid Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of Leonardo,
quaternions and hybrid numbers were presented. Soon after, its recurrence, characteristic equation, its relation with the Fibonacci quaternions, generating function, Binet’s formula, as well as its extension to non-positive integer indices were developed. Finally, identities involving Leonardo’s hybrid quaternions are presented.

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Published

2022-03-25

How to Cite

Mangueira, M. C. S., Alves, F. R. V., & Catarino, P. M. M. C. (2022). Hybrid Quaternions of Leonardo. Trends in Computational and Applied Mathematics, 23(1), 51–62. https://doi.org/10.5540/tcam.2022.023.01.00051

Issue

Vol. 23 No. 1 (2022)

Section

Original Article

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