Teorik Makale
BibTex RIS Kaynak Göster
Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 119 - 127, 29.12.2024
https://doi.org/10.33773/jum.1531576

Öz

Kaynakça

  • Y. Alagoz, K. H. Oral, and S. Yuce. Split quaternion matrices. Miskolc Mathematical Notes,13(2):223-232, 2012.
  • D. Brod. On some properties of split horadam quaternions. Acta Universitatis Sapientiae, Mathematica, 12(2):260-271, 2020.
  • E. Cartan. The theory of spinors. Courier Corporation, 2012.
  • G. Cerda-Morales. Some properties of horadam quaternions. ariv preprint ariv:1707.05918, 2017.
  • 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.
  • S. De Leo and G. C. Ducati. Quaternionic groups in physics. International journal of theoretical physics, 38(8):2197-2220, 1999.
  • I. Frenkel and M. Libine. Quaternionic analysis, representation theory and physics. Advances in Mathematics, 218(6):1806-1877, 2008.
  • W. R. Hamilton. Elements of quaternions. Longmans, Green, Company, 1866.
  • A. Ipek. On (p, q)-bonacci quaternions and their binet formulas, generating functions and certain binomial sums. Advances in Applied Cli ord Algebras, 27:1343{1351, 2017.
  • T. Koshy. Fibonacci and Lucas Numbers with Applications, Volume 2. John Wiley Sons, 2019.
  • B. K. Patel and P. K. Ray. On the properties of (p, q)-bonacci and (p, q)-lucas quaternions. Mathematical Reports, 21(71):15-25, 2019.
  • M. D. Vivarelli. Development of spinor descriptions of rotational mechanics from eulers rigid body displacement theorem. Celestial mechanics, 32(3):193-207, 1984.
  • S. Weinberg. Comments on relativistic supermultiplet theories. Physical Review, 139(3B):B597, 1965.

HYPERBOLIC HORADAM SPINORS

Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 119 - 127, 29.12.2024
https://doi.org/10.33773/jum.1531576

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.

Kaynakça

  • Y. Alagoz, K. H. Oral, and S. Yuce. Split quaternion matrices. Miskolc Mathematical Notes,13(2):223-232, 2012.
  • D. Brod. On some properties of split horadam quaternions. Acta Universitatis Sapientiae, Mathematica, 12(2):260-271, 2020.
  • E. Cartan. The theory of spinors. Courier Corporation, 2012.
  • G. Cerda-Morales. Some properties of horadam quaternions. ariv preprint ariv:1707.05918, 2017.
  • 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.
  • S. De Leo and G. C. Ducati. Quaternionic groups in physics. International journal of theoretical physics, 38(8):2197-2220, 1999.
  • I. Frenkel and M. Libine. Quaternionic analysis, representation theory and physics. Advances in Mathematics, 218(6):1806-1877, 2008.
  • W. R. Hamilton. Elements of quaternions. Longmans, Green, Company, 1866.
  • A. Ipek. On (p, q)-bonacci quaternions and their binet formulas, generating functions and certain binomial sums. Advances in Applied Cli ord Algebras, 27:1343{1351, 2017.
  • T. Koshy. Fibonacci and Lucas Numbers with Applications, Volume 2. John Wiley Sons, 2019.
  • B. K. Patel and P. K. Ray. On the properties of (p, q)-bonacci and (p, q)-lucas quaternions. Mathematical Reports, 21(71):15-25, 2019.
  • M. D. Vivarelli. Development of spinor descriptions of rotational mechanics from eulers rigid body displacement theorem. Celestial mechanics, 32(3):193-207, 1984.
  • S. Weinberg. Comments on relativistic supermultiplet theories. Physical Review, 139(3B):B597, 1965.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebir ve Sayı Teorisi, Cebirsel ve Diferansiyel Geometri, Temel Matematik (Diğer)
Bölüm Araştırma Makalesi
Yazarlar

Selime Beyza Özçevik 0000-0003-2026-3345

Abdullah Dertli 0000-0001-8687-032X

Savaş Karaahmetoğlu 0000-0002-7600-6906

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 Özçevik SB, Dertli A, Karaahmetoğlu S. HYPERBOLIC HORADAM SPINORS. JUM. Aralık 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. “HYPERBOLIC HORADAM SPINORS”. Journal of Universal Mathematics 7, sy. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (Aralık 2024): 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 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, 2024, doi: 10.33773/jum.1531576.
ISNAD Özçevik, Selime Beyza vd. “HYPERBOLIC HORADAM SPINORS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (Aralık 2024), 119-127. https://doi.org/10.33773/jum.1531576.
JAMA 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", 2024, ss. 119-27, doi:10.33773/jum.1531576.
Vancouver Özçevik SB, Dertli A, Karaahmetoğlu S. HYPERBOLIC HORADAM SPINORS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):119-27.