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Research Article Open access CC BY 4.0

Tetranacci and Tetranacci-Lucas Quaternions

Yüksel Soykan

Asian Research Journal of Mathematics · pp. 1–24 · Published 12 Aug 2019

10.9734/arjom/2019/v15i130137

Abstract

The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them. We present the generating functions, Binet's formulas and sums formulas of these quaternions. Moreover, we give matrix formulation of Tetranacci and Tetranacci-Lucas quaternions.

Tetranacci numbers quaternions Tetranacci quaternions Tetranacci-Lucas quaternions.

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Cited by 14

Generalized Friedrich Numbers

Yüksel Soykan · Journal of Advances in Mathematics and Computer Science · 2023

Generalized Horadam-Leonardo Numbers and Polynomials

Yüksel Soykan · Asian Journal of Advanced Research and Reports · 2023

On Generalized Commutative Quaternions with Generalized Tetranacci Number Components

Özge Arıbaş, Mustafa Yıldız · Karaelmas Science and Engineering Journal · 2023

On generalized Pentanacci quaternions

Yüksel Soykan, Nejla Özmen, Melih Göcen · Tbilisi Mathematical Journal · 2020

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