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亞純函數與其微分多項式的分擔函數與正規(guī)族

時間:2023-04-26 21:28:10 數理化學論文 我要投稿
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亞純函數與其微分多項式的分擔函數與正規(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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