An overview to analyticity of dual functions

Authors : Olgun DURMAZ, Buşra AKTAŞ, Osman KEÇİLİOĞLU

Pages : 1095-1120

Doi:10.31801/cfsuasmas.1035344

View : 18 | Download : 7

Publication Date : 2022-12-30

Article Type : Research Paper

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