Uniqueness Theory of Meromorphic Functions: 557 - Brossura

Chung-Chun Yang, Chung-Chun; Hong-Xun Yi

Brossura

ISBN 10: 9048163544 ISBN 13: 9789048163540

Casa editrice: Springer, 2010

Riassunto

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book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results.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

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)

Contenuti

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048163544
• ISBN 13: 9789048163540
• Rilegatura: Copertina flessibile
• Numero di pagine: 580
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania