HYPERBOLIC HORADAM SPINORS

Year 2024, Volume: 7 Issue: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 119 - 127, 29.12.2024

Selime Beyza Özçevik , Abdullah Dertli , Savaş Karaahmetoğlu

https://doi.org/10.33773/jum.1531576

Abstract

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.

Keywords

Horadam sequence, quaternion, spinor

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