Overview
Presents new aspects of new singular directions,
T directions Covers new results on estimates of the number of deficient values
Investigate Meromorphic Functions in a new aspect
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections, several aspects of new singular directions, new results on estimates of the number of deficient values, new results on singular values and behaviours of subharmonic functions which are the foundation for further discussion on the proof of the Nevanlinna conjecture. The independent significance of normality of subharmonic function family is emphasized. This book is designed for scientists, engineers and post graduated students engaged in Complex Analysis and Meromorphic Functions.
Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.
Reviews
From the reviews:
“This monograph studies the value distribution of functions which are meromorphic either in the whole complex plane or in an angular domain, with an emphasis on so-called T directions. … Each chapter contains a comprehensive list of references, to both classical and recent publications. The main focus of this book is clearly on meromorphic functions in an angular domain. For anyone working in this field it will prove to be a valuable source of information.” (Jürgen Grahl, Mathematical Reviews, Issue 2012 d)
“This is a monograph devoted to the value distribution theory of meromorphic functions, also known as Nevanlinna theory. … Each chapter finishes with a list of references (in total there are more than 200 items) containing both classical and recent publications on the topic, not only in English but also in Chinese and Russian. … recommend this book to any person who is interested in value distribution theory in an angular domain.” (Igor Chyzhykov, Zentralblatt MATH, Vol. 1233, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Value Distribution of Meromorphic Functions
Authors: Jianhua Zheng
DOI: https://doi.org/10.1007/978-3-642-12909-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
eBook ISBN: 978-3-642-12909-4Published: 31 March 2011
Edition Number: 1
Number of Pages: 316
Additional Information: Jointly published with Tsinghua University Press
Topics: Analysis, Functions of a Complex Variable, Real Functions