PADOVAN AND PERRIN SPINORS
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| Yazarlar | Dişkaya, Orhan Menken, Hamza |
| Tek Biçim Adres (URI) | https://hdl.handle.net/20.500.14114/9249 |
| Yayın Türü | Makale |
| Yayın Yılı | 2024 |
| DOI Adresi | 10.7251/MK2401015D |
| Yayıncı | MAT-KOL (Banja Luka) |
| Dergi Adı | MAT-KOL (Banja Luka) |
| Konu Başlıkları | Padovan numbers Perrin numbers spinors |
| İndekslenen Platformlar | EBSCOHost |
Spinors are components of a complex vector space that can be re-
lated to Euclidean space in both geometry and physics. In essence, the forms
of usage include quaternions that are equivalent to Pauli spin matrices, which
may be produced by thinking of a quaternion matrix as the compound. This
study’s objective is the spinor structure that forms based on the quaternion al-
gebra. In this work, first, spinors have been mathematically presented. Then,
Padovan and Perrin spinors have been defined using the Padovan and Perrin
quaternions. Later, we defined the algebraic structure for these spinors. Fi-
nally, we have established certain identities such as the Binet formulas and
generating functions for Padovan and Perrin spinors.
Koleksiyonlar
- Fakülteler
- Fen Fakültesi
- Matematik Bölümü
- Cebir Sayıları Teorisi Anabilim Dalı
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Eser Adı dc.title |
PADOVAN AND PERRIN SPINORS |
|---|---|
|
Yazarlar dc.contributor.author |
Dişkaya, Orhan |
|
Yazarlar dc.contributor.author |
Menken, Hamza |
|
Yayıncı dc.publisher |
MAT-KOL (Banja Luka) |
|
Yayın Türü dc.type |
Makale |
|
Özet dc.description.abstract |
Spinors are components of a complex vector space that can be re- lated to Euclidean space in both geometry and physics. In essence, the forms of usage include quaternions that are equivalent to Pauli spin matrices, which may be produced by thinking of a quaternion matrix as the compound. This study’s objective is the spinor structure that forms based on the quaternion al- gebra. In this work, first, spinors have been mathematically presented. Then, Padovan and Perrin spinors have been defined using the Padovan and Perrin quaternions. Later, we defined the algebraic structure for these spinors. Fi- nally, we have established certain identities such as the Binet formulas and generating functions for Padovan and Perrin spinors. |
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Kayıt Giriş Tarihi dc.date.accessioned |
2024-03-07 |
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Yayın Yılı dc.date.issued |
2024 |
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Açık Erișim Tarihi dc.date.available |
2024-03-31 |
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Dil dc.language.iso |
eng |
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Konu Başlıkları dc.subject |
Padovan numbers |
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Konu Başlıkları dc.subject |
Perrin numbers |
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Konu Başlıkları dc.subject |
spinors |
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ISSN dc.identifier.issn |
0354-6969 |
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İlk Sayfa dc.identifier.startpage |
15 |
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Son Sayfa dc.identifier.endpage |
23 |
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Dergi Adı dc.relation.journal |
MAT-KOL (Banja Luka) |
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Dergi Sayısı dc.identifier.issue |
1 |
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Dergi Cilt dc.identifier.volume |
2024 |
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Tek Biçim Adres (URI) dc.identifier.uri |
https://hdl.handle.net/20.500.14114/9249 |
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DOI Numarası dc.identifier.doi |
10.7251/MK2401015D |
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İndekslenen Platformlar dc.source.database |
EBSCOHost |
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