| 关于微分多项式零点的注记 |
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| 引用本文： | 吕巍然,王赞春,仪洪勋. 关于微分多项式零点的注记[J]. 东北数学, 2007, 23(2): 95-102 |
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| 作者姓名： | 吕巍然 王赞春 仪洪勋 |
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| 作者单位： | Department of Mathematics University of Petroleum，Department of Mathematics University of Petroleum，Department of Mathematics Shandong University Dongying，257061，Dongying，257061，Jinan，250100 |
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| 摘 要： | The value distribution of differential polynomials is studied.The re- suits in this paper improve and generalize some previous theorems given by Yang Chungchun(On deficiencies of differential polynomials,Math.Z.,116(1970),197- 204),H.S.Gopalakrishna and S.S.Bhoosnurmath(On distribution of values of differential polynomials,Indian J.Pure Appl.Math.,17(1986),367-372),I.Lahiri (A note on distribution of nonhomogeneous differential polynomials,Hokkaido Math. J.,31(2002),453-458)and Yi Hongxun(On zeros of differential polynomials,Adv. in Math.,18(1989),335-351)et al.Examples show that the results in this paper are sharp.
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| 关 键 词： | 亚纯函数 零点 微分多项式 整数函数 |
| 文章编号： | 1000-1778（2007）02-0095-08 |
| 收稿时间： | 2005-01-04 |
| 修稿时间： | 2005-01-04 |
Notes on Zeros of Differential Polynomials |
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| L Wei-ran,WANG Zan-chun,YI Hong-xun. Notes on Zeros of Differential Polynomials[J]. Northeastern Mathematical Journal, 2007, 23(2): 95-102 |
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| Authors: | L Wei-ran WANG Zan-chun YI Hong-xun |
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| Affiliation: | 1 Department of Mathematics, University of Petroleum, Dongying, 257061;2.Department of Mathematics, Shandong University, Jinan, 250100 |
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| Abstract: | The value distribution of differential polynomials is studied.The re- suits in this paper improve and generalize some previous theorems given by Yang Chungchun(On deficiencies of differential polynomials,Math.Z.,116(1970),197- 204),H.S.Gopalakrishna and S.S.Bhoosnurmath(On distribution of values of differential polynomials,Indian J.Pure Appl.Math.,17(1986),367-372),I.Lahiri (A note on distribution of nonhomogeneous differential polynomials,Hokkaido Math. J.,31(2002),453-458)and Yi Hongxun(On zeros of differential polynomials,Adv. in Math.,18(1989),335-351)et al.Examples show that the results in this paper are sharp. |
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| Keywords: | meromorphic function zero-point differential polynomial |
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