Bibliographic Information

Uniqueness theory of meromorphic functions

by Chung-Chun Yang, Hong-Xun Yi

(Mathematics and its applications, v. 557)

Science Press , Kluwer Academic, c2003

  • : Science Press
  • : Kluwer Academic

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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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

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Details

  • NCID
    BA69188506
  • ISBN
    • 7030084519
    • 1402014481
  • Country Code
    cc
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Beijing,Dordrecht
  • Pages/Volumes
    viii, 569 p.
  • Size
    25 cm
  • Parent Bibliography ID
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