- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 4
- An overview to analyticity of dual functions
An overview to analyticity of dual functions
Authors : Olgun Durmaz, Buşra Aktaş, Osman Keçilioğlu
Pages : 1095-1120
Doi:10.31801/cfsuasmas.1035344
View : 12 | Download : 6
Publication Date : 2022-12-30
Article Type : Research
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