De moivre’s and euler formulas for matrices of hybrid numbers

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Akbıyık M., Akbıyık S. Y., Karaca E., YILMAZ F.

Axioms, cilt.10, sa.3, 2021 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/axioms10030213
  • Dergi Adı: Axioms
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Euler and De Moivre’s formulas, Hybrid numbers, Matrix representation
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

© 2021 by the authors. Licensee MDPI, Basel, Switzerland.It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists. At this paper, we provide the Euler’s and De Moivre’s formulas for the 4 × 4 matrices associated with hybrid numbers by using trigonometric identities. Also, we give the roots of the matrices of hybrid numbers. Moreover, we give some illustrative examples to support the main formulas.