Conference Paper

De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers

Volume: 2 Number: 3 December 30, 2019
EN

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

References

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  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

December 30, 2019

Submission Date

October 30, 2019

Acceptance Date

December 6, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

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, and 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 (December 1, 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 and E. Kahramani, “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”, Conference Proceedings of Science and Technology, vol. 2, no. 3, pp. 180–184, Dec. 2019, [Online]. Available: 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 (December 1, 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, and Elma Kahramani. “De-Moivre and Euler Formulae for Dual-Hyperbolic Numbers”. Conference Proceedings of Science and Technology, vol. 2, no. 3, Dec. 2019, pp. 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]. 2019 Dec. 1;2(3):180-4. Available from: https://izlik.org/JA22NM37JY