A note on hyperbolic quaternions

İşıl Arda Kösal

doi:10.32323/ujma.380645

Araştırma Makalesi

A note on hyperbolic quaternions

Yıl 2018, Cilt: 1 Sayı: 3, 155 - 159, 30.09.2018

İşıl Arda Kösal

https://doi.org/10.32323/ujma.380645

Cited By: 5

Öz

In this work, we introduce hyperbolic quaternions and their algebraic properties. Moreover, we express Euler's and De Moivre's formulas for hyperbolic quaternions.

Anahtar Kelimeler

Hyperbolic quaternion, Euler’s formula, De Moivre’s formula

Kaynakça

[1] Hamilton, W.R., Elements of Quaternions, London Longmans Green, 1866.
[2] Cho, E., De Moivre’s Formula for Quaternions, Appl. Math. Lett. 6 (1998), 33-35.
[3] Özdemir, M., The Roots of a Split Quaternion, Appl. Math. Lett. 22 (2009), 258-263.
[4] MacFarlane, A., Hyperbolic Quaternions, Proc. Roy. Soc. Edinburgh, 1900, pp. 169-181.
[5] Ward, JP., Quaternions and Cayley Numbers Algebra and Applications, Boston(SPA), Kluwer Academic, 1997.
[6] Demir, S., Tanışlı, M., Candemir, N., Hyperbolic Quaternions Formulation of Electromacnetism, Adv. Appl. Clifford Algebras, 20 (2010), 547-563.
[7] Niven I., The Roots of a Quaternion, Amer. Math. Monthly 449 (6) (1942) 386-388.
[8] Brand L., The Roots of a Quaternion, Amer. Math. Monthly 49 (8) (1942) 519–520.

Yıl 2018, Cilt: 1 Sayı: 3, 155 - 159, 30.09.2018

İşıl Arda Kösal

https://doi.org/10.32323/ujma.380645

Cited By: 5

Öz

Kaynakça

[1] Hamilton, W.R., Elements of Quaternions, London Longmans Green, 1866.
[2] Cho, E., De Moivre’s Formula for Quaternions, Appl. Math. Lett. 6 (1998), 33-35.
[3] Özdemir, M., The Roots of a Split Quaternion, Appl. Math. Lett. 22 (2009), 258-263.
[4] MacFarlane, A., Hyperbolic Quaternions, Proc. Roy. Soc. Edinburgh, 1900, pp. 169-181.
[5] Ward, JP., Quaternions and Cayley Numbers Algebra and Applications, Boston(SPA), Kluwer Academic, 1997.
[6] Demir, S., Tanışlı, M., Candemir, N., Hyperbolic Quaternions Formulation of Electromacnetism, Adv. Appl. Clifford Algebras, 20 (2010), 547-563.
[7] Niven I., The Roots of a Quaternion, Amer. Math. Monthly 449 (6) (1942) 386-388.
[8] Brand L., The Roots of a Quaternion, Amer. Math. Monthly 49 (8) (1942) 519–520.

Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Makaleler
Yazarlar	İşıl Arda Kösal
Yayımlanma Tarihi	30 Eylül 2018
Gönderilme Tarihi	18 Ocak 2018
Kabul Tarihi	28 Şubat 2018
Yayımlandığı Sayı	Yıl 2018 Cilt: 1 Sayı: 3

Kaynak Göster

APA	Arda Kösal, İ. (2018). A note on hyperbolic quaternions. Universal Journal of Mathematics and Applications, 1(3), 155-159. https://doi.org/10.32323/ujma.380645
AMA	Arda Kösal İ. A note on hyperbolic quaternions. Univ. J. Math. Appl. Eylül 2018;1(3):155-159. doi:10.32323/ujma.380645
Chicago	Arda Kösal, İşıl. “A Note on Hyperbolic Quaternions”. Universal Journal of Mathematics and Applications 1, sy. 3 (Eylül 2018): 155-59. https://doi.org/10.32323/ujma.380645.
EndNote	Arda Kösal İ (01 Eylül 2018) A note on hyperbolic quaternions. Universal Journal of Mathematics and Applications 1 3 155–159.
IEEE	İ. Arda Kösal, “A note on hyperbolic quaternions”, Univ. J. Math. Appl., c. 1, sy. 3, ss. 155–159, 2018, doi: 10.32323/ujma.380645.
ISNAD	Arda Kösal, İşıl. “A Note on Hyperbolic Quaternions”. Universal Journal of Mathematics and Applications 1/3 (Eylül 2018), 155-159. https://doi.org/10.32323/ujma.380645.
JAMA	Arda Kösal İ. A note on hyperbolic quaternions. Univ. J. Math. Appl. 2018;1:155–159.
MLA	Arda Kösal, İşıl. “A Note on Hyperbolic Quaternions”. Universal Journal of Mathematics and Applications, c. 1, sy. 3, 2018, ss. 155-9, doi:10.32323/ujma.380645.
Vancouver	Arda Kösal İ. A note on hyperbolic quaternions. Univ. J. Math. Appl. 2018;1(3):155-9.