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 (SCI-Expanded) 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: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: hybrid numbers, matrix representation, Euler and De Moivre's formulas, ROOTS
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

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.