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A note on the removability of totally disconnected sets for analytic functions

UDC 517.537.38 We prove that each totally disconnected closed subset $E$ of a domain $G$ in the complex plane is removable for analytic functions $f(z)$ defined in $G\setminus E$ and such that for any point $z_0\in E$ the real or imaginary part of $f(z)$ vanishes at $z_0$. &nbsp;

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Bibliographic Details
Date:	2020
Main Authors:	Pokrovskii, A. V., Покровський, А.В.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2020
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6046
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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