亞純函數(shù)與其微分多項式的分擔函數(shù)與正規(guī)族

In this paper, we obtain the following normal criterion: Let F be a family of meromorphic functions in domain D C, all of whose zeros have multiplicity k + 1 at least. If there exist holomorphic functions a(z) not vanishing on D, such that for every function f(z) ∈ F,f(z) shares a(z) IM with L(f) on D, then F is normal on D, where L(f) is linear differential polynomials of f(z) with holomorphic coefficients, and k is some positive numbers. We also proved coressponding results on normal functions.

作 者： 盧謙 李進東 LU Qian LI Jin Dong   作者單位： 盧謙,LU Qian(College of Science, Southwest University of Science and Technology, Sichuan 621010, China)

李進東,LI Jin Dong(College of Information Management, Chengdu University of Technology, Sichuan 610059, China) 

刊 名： 數(shù)學研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O174.52  關鍵詞： meromorphic functions   differential polynomials   normal criterion   shared functions  

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