Value Distribution of Meromorphic Functions
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Value Distribution of Meromorphic Functions

Value Distribution of Meromorphic Functions


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About the 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.

Table of Contents:
Preliminaries of Real Functions.- Characteristics of a Meromorphic Function.- T Directions of a Meromorphic Function.- Argument Distribution and Deficient Values.- Meromorphic Functions With Radially Distributed Values.- Singular Values of Meromorphic Functions.- The Potential Theory in Value Distribution.

Review :
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. (Jurgen 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) " 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. (Jurgen 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)"


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Product Details
  • ISBN-13: 9783642129087
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • Returnable: N
  • ISBN-10: 3642129080
  • Publisher Date: 22 Nov 2010
  • Binding: Hardback
  • Language: English
  • Width: 155 mm


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