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Mathematics > Rings and Algebras

arXiv:1801.05910 (math)
[Submitted on 18 Jan 2018]

Title:Dual Third-order Jacobsthal Quaternions

Authors:Gamaliel Cerda-Morales
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Abstract:In 2016, Yüce and Torunbalcı Aydın \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.
Comments: 13 pages
Subjects: Rings and Algebras (math.RA)
MSC classes: 11R52, 11B37, 20G20
Cite as: arXiv:1801.05910 [math.RA]
  (or arXiv:1801.05910v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.1801.05910
Journal reference: Proyecciones. Journal of Mathematics, 37(4), (2018), 731--747
Related DOI: https://doi.org/10.4067/s0716-09172018000400731

Submission history

From: Gamaliel Cerda-Morales [view email]
[v1] Thu, 18 Jan 2018 02:32:01 UTC (7 KB)
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