| 圆内亚纯函数与其微分多项式的公共Borel点 |
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| 引用本文： | 吴桂荣,潘飚.圆内亚纯函数与其微分多项式的公共Borel点[J].数学物理学报(A辑),2000,20(4):540-546. |
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| 作者姓名： | 吴桂荣 潘飚 |
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| 作者单位： | 福建师范大学数学系!福州350007 |
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| 摘 要： | 该文把A.P.Singh关于一类齐次微分多项式级的结果推广到更一般的微分多项式。并证明了：如果Q（f)≠0是圆内有限正级亚纯函数f的身长分多项式，则f^(k0Q(f)的Borel点必是f的Borel点，其中K0满足0≤K0≤min{K:f^(k)出现在Q（f)中}。
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| 关 键 词： | 亚纯函数 微分多项式 Borel点 导数 圆 |
On Common Borel Points of a Meromorphic Function and its Differential Polynomial in the Unit Circle |
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| Wu Guirong,Pan Biao.On Common Borel Points of a Meromorphic Function and its Differential Polynomial in the Unit Circle[J].Acta Mathematica Scientia,2000,20(4):540-546. |
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| Authors: | Wu Guirong Pan Biao |
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| Abstract: | Let \$f\$ be a meromorphic function of finite positive order in the unit circle and \$F\$ be a differential polynomial in \$f\$,If the order of growth of \$F\$ is same as that of \$f\$,then the Borel points of \$F\$ must be the Borel points of \$f\$.In particular the Borel points of a monomial in \$f\$ are also the Borel points of \$f\$ under certain conditions.In addition,A result on orders of homogeneous differential polynomial due to Singh,A.P.is generalized. |
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| Keywords: | Meromorphic functions Differential polynomial Borel points $ |
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