Uniqueness Theory of Meromorphic Functions

Name: Uniqueness Theory of Meromorphic Functions
Author: Chung-Chun Yang

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Gebonden, 569 blz. | Engels

Springer Netherlands | 2003e druk, 2004

ISBN13: 9781402014482

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Springer Netherlands 2003e druk, 2004 9781402014482

Onderdeel van serie Mathematics and Its Applications

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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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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.

Specificaties

ISBN13:9781402014482

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:569

Uitgever:Springer Netherlands

Druk:2003

Serie:Mathematics and Its Applications

Inhoudsopgave

1 Basic Nevanlinna theory.- 2 Unicity of functions of finite (lower) order.- 3 Five-value, multiple value and uniqueness.- 4 The four-value theorem.- 5 Functions sharing three common values.- 6 Three-value sets of meromorphic functions.- 7 Functions sharing one or two values.- 8 Functions sharing values with their derivatives.- 9 Two functions whose derivatives share values.- 10 Meromorphic functions sharing sets.

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