Meromorphic functions of one complex variable. A survey
A. Eremenko, J. K. Langley
TL;DR
This paper surveys the developments in the theory of meromorphic functions of one complex variable following the publication of Goldberg and Ostrovskii's book in 1970, highlighting new results and progress.
Contribution
It provides an overview of the advancements in meromorphic function theory made after 1970, complementing the original book's content.
Findings
Summary of key results in meromorphic functions post-1970
Highlights of new techniques and theories developed
Identification of open problems and future directions
Abstract
This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970.
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Advanced Differential Equations and Dynamical Systems