Leveraging the defined hyperbolic spinor and the recurrence relation of the Horadam sequence, a novel sequence is delineated, and its foundational equations, akin to generator function and Binet formula, are expressed through theorems.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, a new definition of hyperbolic spinors is being introduced through a transformation from the Horadam split quaternion, which holds significant importance in both mathematics and physics.
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Key Findings & Data:Subsequently, fundamental concepts such as conjugate and norm are elucidated.
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Conclusion & Impact:Leveraging the defined hyperbolic spinor and the recurrence relation of the Horadam sequence, a novel sequence is delineated, and its foundational equations, akin to generator function and Binet formula, are expressed through theorems.
In this study, a new definition of hyperbolic spinors is being introduced through a transformation from the Horadam split quaternion, which holds significant importance in both mathematics and physics. Subsequently, fundamental concepts such as conjugate and norm are elucidated. Leveraging the defined hyperbolic spinor and the recurrence relation of the Horadam sequence, a novel sequence is delineated, and its foundational equations, akin to generator function and Binet formula, are expressed through theorems.
Özçevik, S. B., Dertli, A., Karaahmetoğlu, S. (2024). HYPERBOLIC HORADAM SPINORS. Journal of Universal Mathematics, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" Özel Sayı, 119–127. https://doi.org/10.33773/jum.1531576
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