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亞純函數(shù)與其微分多項(xiàng)式的分擔(dān)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(jìn)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(jìn)東,LI Jin Dong(College of Information Management, Chengdu University of Technology, Sichuan 610059, China)
刊 名： 數(shù)學(xué)研究與評(píng)論 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分類(lèi)號(hào)： O174.52 關(guān)鍵詞： meromorphic functions differential polynomials normal criterion shared functions【亞純函數(shù)與其微分多項(xiàng)式的分擔(dān)函數(shù)與正規(guī)族】相關(guān)文章：
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