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

  • A. V. Pokrovskii


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 $z_0$.



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How to Cite
Pokrovskii, A. V. “A Note on the Removability of Totally Disconnected Sets for Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 3, Mar. 2020, pp. 425-6, doi:10.37863/umzh.v72i3.6046.
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