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...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Cerda-Morales,Gamaliel
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Third-order Jacobsthal number third-order Jacobsthal-Lucas number third-order Jacobsthal quaternions third-order Jacobsthal-Lucas quaternions dual quaternion
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400731
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172018000400731
record_format	dspace
spelling	oai:scielo:S0716-091720180004007312018-11-05Dual third-order Jacobsthal quaternionsCerda-Morales,Gamaliel Third-order Jacobsthal number third-order Jacobsthal-Lucas number third-order Jacobsthal quaternions third-order Jacobsthal-Lucas quaternions dual quaternion 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.4 20182018-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400731en10.4067/S0716-09172018000400731
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Third-order Jacobsthal number third-order Jacobsthal-Lucas number third-order Jacobsthal quaternions third-order Jacobsthal-Lucas quaternions dual quaternion
spellingShingle	Third-order Jacobsthal number third-order Jacobsthal-Lucas number third-order Jacobsthal quaternions third-order Jacobsthal-Lucas quaternions dual quaternion Cerda-Morales,Gamaliel Dual third-order Jacobsthal quaternions
description	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.
author	Cerda-Morales,Gamaliel
author_facet	Cerda-Morales,Gamaliel
author_sort	Cerda-Morales,Gamaliel
title	Dual third-order Jacobsthal quaternions
title_short	Dual third-order Jacobsthal quaternions
title_full	Dual third-order Jacobsthal quaternions
title_fullStr	Dual third-order Jacobsthal quaternions
title_full_unstemmed	Dual third-order Jacobsthal quaternions
title_sort	dual third-order jacobsthal quaternions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000400731
work_keys_str_mv	AT cerdamoralesgamaliel dualthirdorderjacobsthalquaternions
_version_	1718439841234944000

Dual third-order Jacobsthal quaternions

Ejemplares similares