A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers

Authors : Nurten GÜRSES, Gülsüm Yeliz ŞENTÜRK, Salim YÜCE

Pages : 180-194

Doi:10.35378/gujs.653906

View : 26 | Download : 6

Publication Date : 2021-03-01

Article Type : Research Paper

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.
Keywords : Generalized complex numbers, Complex nnumber, Dual generalized, Hyperbolic generalized, Complex number