| 关于f的一个微分多项式分担值的正规定则 |
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| 引用本文： | 鲍文竹,张兆迎. 关于f的一个微分多项式分担值的正规定则[J]. 河南师范大学学报(自然科学版), 2011, 39(1): 27-29 |
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| 作者姓名： | 鲍文竹 张兆迎 |
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| 作者单位： | 成都信息工程学院,数学学院,成都,610225 |
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| 摘 要： | 主要证明了以下的定理:设F为复平面上一区域上F的亚纯函数族,k为正整数,a为非零有穷复数,F中的每一个f的零点和极点的重级均≥k+2,记L(f)=a0f(k)+a1f(k-1)+…+akf,其中a0≠0,a1,…,ak为复数.若对任意的f,g∈F,L(f),L(g),在D内分担a,则F在D上正规.
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| 关 键 词： | 亚纯函数 分担值 正规族 |
A Normality Criterion of Meromophic Functions Related to one Differential Polynomial Sharing a Non-zero Value |
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| BAO Wen-zhu,ZHANG Zhao-ying. A Normality Criterion of Meromophic Functions Related to one Differential Polynomial Sharing a Non-zero Value[J]. Journal of Henan Normal University(Natural Science), 2011, 39(1): 27-29 |
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| Authors: | BAO Wen-zhu ZHANG Zhao-ying |
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| Affiliation: | (School of Mathematics,Chengdu University of Information Technology,Chengdu 610225,China) |
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| Abstract: | Let F be a family of meromorphic functions defined on a domain D in the complexplane,k be a positive integer and a be a non-zero finite complex number such that each f∈F has zeros and poles of multiplicity at least k+2.Denote L(f)=a0(f)(k)+…+akf,where a0≠0,a1,…,ak are finite complex numbers.Suppose that L(f) and L(g) share "a" on D for any f and g in F,then F is a normal family on D. |
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| Keywords: | meromorphic function shared value normal family |
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