On removable sets for holomorphic functions
Malik Younsi
TL;DR
This paper surveys the concept of removable sets in the complex plane for various classes of holomorphic functions, discussing applications and open questions to advance understanding in complex analysis.
Contribution
It provides a comprehensive overview of removability, introduces new open questions, and discusses applications in the context of holomorphic functions.
Findings
Summary of known results on removability
Identification of open problems in the field
Discussion of applications in complex analysis
Abstract
We present a comprehensive survey on removability of compact plane sets with respect to various classes of holomorphic functions. We also discuss some applications and several open questions, some of which are new.
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