亚纯函数与其微分多项式的分担函数与正规族

时间:2023-04-26 21:28:10 数理化学论文 我要投稿
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亚纯函数与其微分多项式的分担函数与正规族

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: 卢谦 李进东 LU Qian LI Jin Dong   作者单位: 卢谦,LU Qian(College of Science, Southwest University of Science and Technology, Sichuan 621010, China)

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

刊 名: 数学研究与评论  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分类号: O174.52  关键词: meromorphic functions   differential polynomials   normal criterion   shared functions  

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