Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions

Hidayet Hüda KÖSAL; Tuçe BİLGİLİ

doi:https://doi.org/10.36890/iejg.768821

Makale detayları

Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions

Yazarlar:

Hidayet Hüda KÖSAL | Tuçe BİLGİLİ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.98-107

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471654

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.768821

Özet:

 

In this study, Euler and De Moivre's formulas for fundamental matrices of commutative quaternions are obtained. Simple and effective methods are provided to find the powers and roots of these matrices with the aid of De Moivre's formula obtained from the fundamental matrices of commutative quaternions. Moreover, our results are supported by pseudo-codes and some examples.                                                                                                                                                                                                                                                                                
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Makale detayları

Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions

Yazarlar: Hidayet Hüda KÖSAL | Tuçe BİLGİLİ

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.98-107

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000471654

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.768821

Sayı

Yazarlar:

Hidayet Hüda KÖSAL | Tuçe BİLGİLİ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.98-107

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471654

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.768821