Value Distribution of Meromorphic Functions

✍ Scribed by Prof. Jianhua Zheng (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 2011
• Tongue: English
• Leaves: 314
• Edition: Jointly published with Tsinghua University Press1st Edition
• Category: Library

✦ Synopsis

"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.

✦ Table of Contents

Front Matter....Pages i-vi
Preliminaries of Real Functions....Pages 1-23
Characteristics of a Meromorphic Function....Pages 25-122
T Directions of a Meromorphic Function....Pages 123-183
Argument Distribution and Deficient Values....Pages 185-205
Meromorphic Functions with Radially Distributed Values....Pages 207-228
Singular Values of Meromorphic Functions....Pages 229-266
The Potential Theory in Value Distribution....Pages 267-306
Back Matter....Pages 307-308

✦ Subjects

Analysis; Functions of a Complex Variable; Real Functions