Pei-Chu Hu

(Author)

Unicity of Meromorphic Mappings (2003)Hardcover - 2003, 30 April 2003

Unicity of Meromorphic Mappings (2003)
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Part of Series
Advances in Complex Analysis and Its Applications
Print Length
467 pages
Language
English
Publisher
Springer
Date Published
30 Apr 2003
ISBN-10
1402012195
ISBN-13
9781402012198

Description

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 Details

Authors:
Pei-Chu HuPing LiChung-Chun Yang
Book Edition:
2003
Book Format:
Hardcover
Country of Origin:
US
Date Published:
30 April 2003
Dimensions:
23.32 x 18.24 x 3.12 cm
ISBN-10:
1402012195
ISBN-13:
9781402012198
Language:
English
Location:
New York, NY
Pages:
467
Publisher:
Weight:
893.58 gm

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