De Moivre's and Euler's Formulas for the Matrices of Octonions

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Atıf İçin Kopyala

BEKTAŞ Ö., YÜCE S.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.89, sa.1, ss.113-127, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 89 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s40010-017-0388-z
• Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.113-127
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to obtain De Moivre's and Euler's formulas for the matrices of octonions, and to find the powers and the roots of these matrices. A simple method is provided to find the powers of 8x8 matrices with the help of De Moivre's formula obtained from the matrices of octonions. We also show that any powers of these matrices can be found. Furthermore, we get the square, cubic and n-th roots for the matrices of octonions.