An overview to analyticity of dual functions

Year 2022, Volume: 71 Issue: 4, 1095 - 1120, 30.12.2022

Olgun Durmaz , Buşra Aktaş , Osman Keçilioğlu

https://doi.org/10.31801/cfsuasmas.1035344

Cited By: 1

Abstract

In this paper, the analyticity conditions of dual functions are clearly examined and the properties of the concept derivative are given in detail. Then, using the dual order relation, the dual analytic regions of dual analytic functions are constructed such that a collection of these regions forms a basis on $D^n$. Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.

Keywords

Dual numbers, topology, dual analytic functions

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