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arXiv · 1801.05910

Dual Third-order Jacobsthal Quaternions

Gamaliel Cerda-Morales
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Abstract

In 2016, Y\"uce and Torunbalc\i\ Ayd\i n \cite{Yuc-Tor} defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their quadratic properties, the summations, the Binet's formulas and Cassini-like identities for these quaternions.

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Gamaliel Cerda-Morales. 2018-01-18. Dual Third-order Jacobsthal Quaternions. https://doi.org/10.4067/s0716-09172018000400731

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