Teorik Makale

HYPERBOLIC HORADAM SPINORS

Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 29 Aralık 2024
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HYPERBOLIC HORADAM SPINORS

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. Y. Alagoz, K. H. Oral, and S. Yuce. Split quaternion matrices. Miskolc Mathematical Notes,13(2):223-232, 2012.
  2. D. Brod. On some properties of split horadam quaternions. Acta Universitatis Sapientiae, Mathematica, 12(2):260-271, 2020.
  3. E. Cartan. The theory of spinors. Courier Corporation, 2012.
  4. G. Cerda-Morales. Some properties of horadam quaternions. ariv preprint ariv:1707.05918, 2017.
  5. J. M. Cooke, M. J. Zyda, D. R. Pratt, and R. B. McGhee. Npsnet: Flight simulation dynamic modeling using quaternions. Presence: Teleoperators Virtual Environments, 1(4):404-420, 1992.
  6. S. De Leo and G. C. Ducati. Quaternionic groups in physics. International journal of theoretical physics, 38(8):2197-2220, 1999.
  7. I. Frenkel and M. Libine. Quaternionic analysis, representation theory and physics. Advances in Mathematics, 218(6):1806-1877, 2008.
  8. W. R. Hamilton. Elements of quaternions. Longmans, Green, Company, 1866.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebir ve Sayı Teorisi, Cebirsel ve Diferansiyel Geometri, Temel Matematik (Diğer)

Bölüm

Teorik Makale

Yayımlanma Tarihi

29 Aralık 2024

Gönderilme Tarihi

14 Ağustos 2024

Kabul Tarihi

6 Aralık 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA
Özçevik, S. B., Dertli, A., & Karaahmetoğlu, S. (2024). HYPERBOLIC HORADAM SPINORS. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 119-127. https://doi.org/10.33773/jum.1531576
AMA
1.Özçevik SB, Dertli A, Karaahmetoğlu S. HYPERBOLIC HORADAM SPINORS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):119-127. doi:10.33773/jum.1531576
Chicago
Özçevik, Selime Beyza, Abdullah Dertli, ve Savaş Karaahmetoğlu. 2024. “HYPERBOLIC HORADAM SPINORS”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 119-27. https://doi.org/10.33773/jum.1531576.
EndNote
Özçevik SB, Dertli A, Karaahmetoğlu S (01 Aralık 2024) HYPERBOLIC HORADAM SPINORS. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 119–127.
IEEE
[1]S. B. Özçevik, A. Dertli, ve S. Karaahmetoğlu, “HYPERBOLIC HORADAM SPINORS”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 119–127, Ara. 2024, doi: 10.33773/jum.1531576.
ISNAD
Özçevik, Selime Beyza - Dertli, Abdullah - Karaahmetoğlu, Savaş. “HYPERBOLIC HORADAM SPINORS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 119-127. https://doi.org/10.33773/jum.1531576.
JAMA
1.Özçevik SB, Dertli A, Karaahmetoğlu S. HYPERBOLIC HORADAM SPINORS. JUM. 2024;7:119–127.
MLA
Özçevik, Selime Beyza, vd. “HYPERBOLIC HORADAM SPINORS”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 119-27, doi:10.33773/jum.1531576.
Vancouver
1.Selime Beyza Özçevik, Abdullah Dertli, Savaş Karaahmetoğlu. HYPERBOLIC HORADAM SPINORS. JUM. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):119-27. doi:10.33773/jum.1531576