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Unicity of Meromorphic Mappings by Pei-Chu Hu (English) Hardcover Book
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eBay item number:386700044184
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9781402012198
- Book Title
- Unicity of Meromorphic Mappings
- ISBN
- 9781402012198
- Publication Year
- 2003
- Series
- Advances in Complex Analysis and Its Applications Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Unicity of Meromorphic Mappings
- Item Length
- 9.4in
- Publisher
- Springer
- Item Width
- 6.3in
- Item Weight
- 31.3 Oz
- Number of Pages
- IX, 467 Pages
About this product
Product Information
For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for- mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna 188] himself proved that for two nonconstant meromorphic func- tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur- 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8, 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
Product Identifiers
Publisher
Springer
ISBN-10
1402012195
ISBN-13
9781402012198
eBay Product ID (ePID)
2481116
Product Key Features
Publication Name
Unicity of Meromorphic Mappings
Format
Hardcover
Language
English
Publication Year
2003
Series
Advances in Complex Analysis and Its Applications Ser.
Type
Textbook
Number of Pages
IX, 467 Pages
Dimensions
Item Length
9.4in
Item Width
6.3in
Item Weight
31.3 Oz
Additional Product Features
Series Volume Number
1
Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Table of Content
1 Nevanlinna theory.- 2 Uniqueness of meromorphic functions on ?.- 3 Uniqueness of meromorphic functions on ?m.- 4 Uniqueness of meromorphic mappings.- 5 Algebroid functions of several variables.- References.- Symbols.
Copyright Date
2003
Topic
Algebra / Abstract, Mathematical Analysis, Complex Analysis
Lccn
2003-044623
Dewey Decimal
515/.982
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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eBay item number:386700044184
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