Dual third-order Jacobsthal quaternions

Abstract In 2016, Yüce and Torunbalcı Aydın (18) 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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Bibliographic Details
Main Author: Cerda-Morales,Gamaliel
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2018
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400731
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