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Uniqueness Theory of Meromorphic Functions by Chung-Chun Yang (English) Paperbac
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Item specifics
- Condition
- ISBN-13
- 9789048163540
- Book Title
- Uniqueness Theory of Meromorphic Functions
- ISBN
- 9789048163540
- Subject Area
- Mathematics
- Publication Name
- Uniqueness Theory of Meromorphic Functions
- Publisher
- Springer Netherlands
- Item Length
- 9.3 in
- Subject
- Mathematical Analysis
- Publication Year
- 2010
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 31 Oz
- Item Width
- 6.1 in
- Number of Pages
- VIII, 569 Pages
About this product
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
9048163544
ISBN-13
9789048163540
eBay Product ID (ePID)
109245623
Product Key Features
Number of Pages
VIII, 569 Pages
Language
English
Publication Name
Uniqueness Theory of Meromorphic Functions
Publication Year
2010
Subject
Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Mathematics and Its Applications Ser.
Format
Trade Paperback
Dimensions
Item Weight
31 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
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), 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), 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), 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)
Dewey Edition
22
Series Volume Number
557
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.982
Table Of Content
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.
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.
LC Classification Number
QA331.7
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