A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients

Karaca E., Yilmaz F., ÇALIŞKAN M.

MATHEMATICS, cilt.8, sa.12, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 12
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/math8122149
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: quaternions, split quaternions with quaternion coefficients, dual quaternions
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E. et al., 2020, each of these quaternions is studied and some important differences are remarked on.