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Dergiler / International Electronic Journal of Geometry / 2018 / Volume: 11 Issue: 2

Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

Kahraman Esen Özen
Murat Tosun
Sayfa
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Yayın Tarihi
2018-11-30
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In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the
📊
Temel Bulgular & Veri:In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the
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Sonuç & Katkı:In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Complex quaternions · Hamilton matrices · Matrix representations

Abstract

In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with the

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Bu Makaleye Atıf Yap

Özen, K. E., Tosun, M. (2018). Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications. International Electronic Journal of Geometry, Volume: 11 Issue: 2. https://doi.org/10.36890/iejg.545136

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Kaynakça (17)

  1. van der Waerden, B. L., Hamilton’s discovery of quaternions. Math. Mag. 49 (1976), no. 5, 227-234.
  2. Zhang, F., Quaternions and matrices of quaternions. Linear Algebra and its Applications 251 (1997), 21-57.
  3. Grob, J., Trenkler, G. and Troschke, S.-O., Quaternions: further contributions to a matrix oriented approach. Linear Algebra and its Applications 326 (2001), 205-213.
  4. Farebrother, R.W., Grob, J. and Troschke, S.-O., Matrix representation of quaternions. Linear Algebra and its Applications 362 (2003), 251-255. [5] Cho, E., De-Moivre’s formula for Quaternions. Appl. Math. Lett. 11 (1998), no. 6, 33-35.
  5. Jafari, M., Mortazaasl, H. and Yaylı, Y., De Moivre’s formula for matrices of quaternions. JP Journal of Algebra, Number Theory and Applications 21 (2011), no. 1, 57-67.
  6. Hamilton, W. R., Lectures on quaternions. Hodges and Smith, Dublin, 1853.
  7. Jafari, M., On the matrix algebra of complex quaternions. Accepted for publication in TWMS Journal of Pure and Applied Mathematics (2016), DOI: 10.13140/RG.2.1.3565.2321.
  8. Agrawal, O. P., Hamilton operators and dual-number-quaternions in spatial kinematics. Mech. Mach. Theory 22 (1987), no. 6, 569-575.
  9. Yaylı, Y., Homothetic motions at E4. Mech. Mach. Theory 27 (1992), no. 3, 303-305.
  10. Güngör, M. A. and Sarduvan, M., A note on dual quaternions and matrices of dual quaternions. Scientia Magna 7 (2011), no. 1, 1-11.
  11. Kösal, H. H. and Tosun, M., Commutative quaternion matrices. Adv. Appl. Clifford Alg. 24 (2014), no. 3, 769-779.
  12. Akyi˜ git, M., Kösal, H. H. and Tosun, M., A Note on matrix representations of split quaternions. Journal of Advanced Research in Applied Mathematics 7 (2015), no. 2, 26-39.
  13. Özen, K. E. and Tosun, M., Elliptic biquaternion algebra. AIP Conf. Proc. 1926 (2018), 020032-1–020032-6, https://doi.org/10.1063/1.5020481.
  14. Özen, K. E. and Tosun, M., A note on elliptic biquaternions. AIP Conf. Proc. 1926 (2018), 020033-1–020033-6, https://doi.org/10.1063/1.5020482.
  15. Özen, K. E. and Tosun, M., p-Trigonometric approach to elliptic biquaternions. Adv. Appl. Clifford Alg. 28:62 (2018), https://doi.org/10.1007/s00006-018-0878-3.
  16. Harkin, A. A. and Harkin, J. B., Geometry of generalized complex numbers. Math. Mag. 77 (2004), no. 2, 118-129.
  17. Kösal, H. H., On commutative quaternion matrices. Sakarya University, Graduate School of Natural and Applied Sciences, Sakarya, Ph.D.