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Uniqueness Theory of Meromorphic Functions : Mathematics and Its Applications - Yang Chung-Chun

Uniqueness Theory of Meromorphic Functions

Mathematics and Its Applications

Hardcover Published: 4th October 2004
ISBN: 9781402014482
Number Of Pages: 569

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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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

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)

Basic Nevanlinna theoryp. 1
Unicity of functions of finite (lower) orderp. 96
Five-value, multiple value and uniquenessp. 156
The four-value theoremp. 215
Functions sharing three common valuesp. 273
Three-value sets of meromorphic functionsp. 338
Functions sharing one or two valuesp. 364
Functions sharing values with their derivativesp. 384
Two functions whose derivatives share valuesp. 426
Meromorphic functions sharing setsp. 454
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402014482
ISBN-10: 1402014481
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 569
Published: 4th October 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 2.17