| 关于O_(ⅢКИН)的正规定则 |
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| 引用本文： | 黄珏.关于O_(ⅢКИН)的正规定则[J].安徽理工大学学报(自然科学版),1991(3). |
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| 作者姓名： | 黄珏 |
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| 作者单位： | 淮南矿业学院基础课部 |
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| 摘 要： | 本文建立了一个基本不等式,用一个密指量N_(1-1))(r,1/(f＇f-1))便界囿了于|z|
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| 关 键 词： | 全纯函数 特征函数 正规 族/重值 |
On Oshkin's Normal Criterion |
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| Huang Jue.On Oshkin''''s Normal Criterion[J].Journal of Anhui University of Science and Technology:Natural Science,1991(3). |
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| Authors: | Huang Jue |
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| Institution: | Centre of Basic Courses |
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| Abstract: | A fundamental inequality is established, in which the Nevan-linna characteristic of a holomorphic function is bounded merely by the counting function of distinct l-points of the product of the function under consideration and its derivative, whose multiples are equal to or greater than 9. As one application of this inepuality, a normal criterion is proved. Suppose that F is a family of holomorphic functions in region D. If every function in F stisfies the property that the multiples of 1-points of the product of the function under consideration and its derivative in D are equal to or greater than 9, then F is normal in D, which is an improvement on Oshkin's criterion. |
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| Keywords: | holomorphic function characteristie function normal family/multple value |
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