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Normality of Meromorphic Functions

Author: WangXiaoXiao
Tutor: PangXueCheng
School: East China Normal University
Course: Basic mathematics
Keywords: Normal Families Differential polynomial
CLC: O174.52
Type: Master's thesis
Year: 2009
Downloads: 16
Quote: 0
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Abstract


This paper study the informality of the family of meromorphic functions , has been a general positive criterion . Suppose F is defined in the complex plane region D family of meromorphic functions , k is a positive integer , for any f ∈ F, f zero weight class is at least k (k ≥ 2), b (≠ 0), c (≠ 0) for the finite complex M ( ( ? ) 4 | B | ) is a positive number , a_i ( z ) , b_i ( Z ) analytic functions on D (i: 1,2, ... k) and satisfies then F is normal in D .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Complex analysis,complex function > Integer function theory of meromorphic functions of (semi- pure function theory )
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