TL;DR
This paper surveys generalizations of Nevanlinna's theorems concerning zero distribution and meromorphic function representation in multiply connected domains, highlighting developments in complex analysis.
Contribution
It provides a concise overview of recent extensions of Nevanlinna's theorems in complex analysis, especially in multiply connected domains.
Findings
Summarizes key generalizations of Nevanlinna's theorems
Highlights applications in complex analysis
Connects to historical context of Goldberg's work
Abstract
We give a short survey on generalizations of Nevanlinna's theorems on zero distribution of bounded holomorphic functions and representation of meromorphic functions in multiply connected domains. It is a part of our report in the conference on complex analysis dedicated to the memory of Anatolii Asirovich Goldberg in Lviv, May 31-June 5, 2010.
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Taxonomy
TopicsMeromorphic and Entire Functions