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Journals / Journal of Mathematical Sciences and Modelling / 2018 / Cilt: 1 - Sayı: 2

On fourth-order jacobsthal quaternions

Gamaliel CERDA-MORALES
Pages
73–79
Publication Date
2018-09-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2].

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions.
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Key Findings & Data:In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions.
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Conclusion & Impact:This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fourth-order Jacobsthal number · Jacobsthal number · quaternion

Abstract

In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions. This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2].

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Cite This Article

CERDA-MORALES, G. (2018). On fourth-order jacobsthal quaternions. Journal of Mathematical Sciences and Modelling, Cilt: 1 - Sayı: 2, 73–79. https://ajindex.com/articles/777571

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References (14)

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