HYPERBOLIC HORADAM SPINORS

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.

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Publication Details

Journal
Journal of Universal Mathematics
Published
2024-12-06
DOI
https://doi.org/10.33773/jum.1531576
Citations
1
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.28
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article

HYPERBOLIC HORADAM SPINORS

Abdullah Dertli, Selime Beyza Özçevik, Savaş Karaahmetoğlu
1 citations
Journal of Universal Mathematics
Advanced Mathematical Theories and Applications
0.28
article

HYPERBOLIC HORADAM SPINORS

Abdullah Dertli, Selime Beyza Özçevik, Savaş Karaahmetoğlu
article en
1 citations

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.

Journal of Universal Mathematics
Ondokuz Mayıs University (TR)
Openalex Percentile: Top 42%
Advanced Mathematical Theories and Applications
0.28
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