Uniqueness Theory Of Meromorphic Functions
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Uniqueness Theory of Meromorphic Functions
Author: Chung-Chun Yang
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-10-04
This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.
Unicity of Meromorphic Mappings
Author: Pei-Chu Hu
language: en
Publisher: Springer Science & Business Media
Release Date: 2003-04-30
This book introduces value distribution theory starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic mappings from parabolic manifolds into projective spaces. Then the unicity theory of meromorphic functions or mappings is discussed systematically and the discussion also covers value distribution theory of algebroid functions of several variables and its applications in unicity theory. Audience: Graduate students and researchers involved in the fields of analysis, complex function theory of one or several variables, value distribution theory and analysis on complex manifolds.
Nevanlinna Theory and Complex Differential Equations
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