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Dergiler / 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
Sayfa
17–38
Yayın Tarihi
2024-06-28
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We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined.
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Temel Bulgular & Veri: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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Sonuç & Katkı:We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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