Uniqueness theory of meromorphic functions
Author(s)
Bibliographic Information
Uniqueness theory of meromorphic functions
（Mathematics and its applications, v. 557）
Science Press , Kluwer Academic, c2003
- : Science Press
- : Kluwer Academic
Available at / 15 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: Science PressYAN||13||104053344
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: Kluwer AcademicDC22:515.982/Y162080016102
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Note
Includes bibliographical references (p. [533]-565) and index
Description and Table of Contents
Description
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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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.
Table of Contents
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.
by "Nielsen BookData"