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

Year 2021, Volume: 34 Issue: 1, 180 - 194, 01.03.2021

Nurten Gürses , Gülsüm Yeliz Şentürk , Salim Yüce

https://doi.org/10.35378/gujs.653906

Cited By: 5

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

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