A study on dual-generalized complex and hyperbolic-generalized complex numbers

GÜRSES N., ŞENTÜRK G. Y., YÜCE S.

Gazi University Journal of Science, vol.34, no.1, pp.180-194, 2021 (Scopus) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.35378/gujs.653906
  • Journal Name: Gazi University Journal of Science
  • Journal Indexes: Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.180-194
  • Keywords: Generalized complex numbers, Dual-generalized, Complex nnumber, Hyperbolic-generalized, Complex number
  • Yıldız Technical University Affiliated: Yes

Abstract

This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration. Besides, dual-generalized complex and hyperbolic-generalized complex valued functions are defined and different matrix representations of these numbers are examined. Moreover, a remarkable classification are given for special cases and the set of complexgeneralized complex numbers are mentioned.