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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【亚纯函数与其微分多项式的分担函数与正规族】相关文章：
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