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De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers

Cilt: 2 Sayı: 3 30 Aralık 2019
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De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers

Abstract

In this study, we generalize the well-known formulae of de-Moivre and Euler of hyperbolic numbers to dual-hyperbolic numbers. Furthermore, we investigate the roots and powers of a dual-hyperbolic number by using these formulae. Consequently, we give some examples to illustrate the main results in this paper.

Keywords

Kaynakça

  1. [1] J. Cockle On a new imaginary in algebra, London-Dublin-Edinburgh Philosophical Magazine 3(34) (1849), 37-47.
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  3. [3] S. Yüce, Z. Ercan, On properties of the dual quaternions, European Journal of Pure and Applied Mathematics 4(2) (2011), 142-146.
  4. [4] G. Sobczyk The hyperbolic number plane, The College Math. J., 26(4) (1995), 268-280.
  5. [5] F. Catoni, R. Cannata, V. Catoni, P. Zampetti, Hyperbolic trigonometry in two-dimensional space-time geometry, Nuovo Cimento della Societa Italiana di Fisica B 118 (2003), 475-491.
  6. [6] S. Yüce, N. Kuruo˜glu , One-parameter plane hyperbolic motions, Adv. Appl. Clifford Alg. 18(2) (2018), 279-285.
  7. [7] M. Akar, S. Yüce, S. Sahin, On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers, Journal of Computer Science Computational Mathematics, 8(1) (2018), 279-285.
  8. [8] S. Ersoy, M. Akyiğit, One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula, Adv. Appl. Clifford Alg. 21(2) (2011), 297-317.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yayımlanma Tarihi

30 Aralık 2019

Gönderilme Tarihi

30 Ekim 2019

Kabul Tarihi

6 Aralık 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Güngör, M. A., & Kahramani, E. (2019). De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers. Conference Proceedings of Science and Technology, 2(3), 180-184. https://izlik.org/JA22NM37JY
AMA
1.Güngör MA, Kahramani E. De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers. Conference Proceedings of Science and Technology. 2019;2(3):180-184. https://izlik.org/JA22NM37JY
Chicago
Güngör, Mehmet Ali, ve Elma Kahramani. 2019. “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”. Conference Proceedings of Science and Technology 2 (3): 180-84. https://izlik.org/JA22NM37JY.
EndNote
Güngör MA, Kahramani E (01 Aralık 2019) De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers. Conference Proceedings of Science and Technology 2 3 180–184.
IEEE
[1]M. A. Güngör ve E. Kahramani, “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”, Conference Proceedings of Science and Technology, c. 2, sy 3, ss. 180–184, Ara. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA22NM37JY
ISNAD
Güngör, Mehmet Ali - Kahramani, Elma. “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”. Conference Proceedings of Science and Technology 2/3 (01 Aralık 2019): 180-184. https://izlik.org/JA22NM37JY.
JAMA
1.Güngör MA, Kahramani E. De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers. Conference Proceedings of Science and Technology. 2019;2:180–184.
MLA
Güngör, Mehmet Ali, ve Elma Kahramani. “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”. Conference Proceedings of Science and Technology, c. 2, sy 3, Aralık 2019, ss. 180-4, https://izlik.org/JA22NM37JY.
Vancouver
1.Mehmet Ali Güngör, Elma Kahramani. De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers. Conference Proceedings of Science and Technology [Internet]. 01 Aralık 2019;2(3):180-4. Erişim adresi: https://izlik.org/JA22NM37JY