Uniqueness Theory of Meromorphic Functions (Mathematics and Its Applications): 557

Uniqueness Theory of Meromorphic Functions (Mathematics and Its Applications): 557

by Chung - Chun Yang (Author), Hong-XunYi (Author)

Synopsis

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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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

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More Information

Format: Hardcover
Pages: 580
Edition: 2003
Publisher: Springer
Published: 04 Oct 2004

ISBN 10: 1402014481
ISBN 13: 9781402014482

Media Reviews

From the reviews:

The uniqueness theory of transcendental meromorphic functions goes back to R. Nevanlinna who proved that any non-constant meromorphic function can be determined by five values applying the value distribution theory established by himself. ... This book is the first exposition systematically summarizing recent results, and also presenting useful skills in this field. (Katsuya Ishizaki, Zentralblatt MATH, Vol. 1070 (21), 2005)