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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 14 Sayı: 1

On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

Tülay Erişir(ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ)0000-0001-6444-1460
Mehmet Ali Güngör(SAKARYA UNIVERSITY)0000-0003-1863-3183
Pages
17–38
Publication Date
2024-06-28
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AI Summary & Key Takeaways

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

We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined.
📊
Key Findings & Data:Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed.
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Conclusion & Impact:We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Jacobsthal numbers · Jacobsthal-Lucas numbers · Quaternions

Abstract

In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, the some relationships between Jacobsthal and Jacobsthal-Lucas spinors are obtained. Therefore, an easier and more interesting representation of Jacobsthal and Jacobsthal-Lucas quaternions, which are generalization of Jacobsthal and Jacobsthal-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

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Cite This Article

Erişir, T., Güngör, M. A. (2024). On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 14 Sayı: 1, 17–38. https://doi.org/10.37094/adyujsci.1464592

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