| 涉及全纯函数分担值的正规定则 |
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| 引用本文： | 邓炳茂,雷春林.涉及全纯函数分担值的正规定则[J].华南农业大学学报,2012,33(2):270-272. |
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| 作者姓名： | 邓炳茂 雷春林 |
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| 作者单位： | 华南农业大学理学院,广东广州,510642 |
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| 基金项目： | 国家自然科学基金(11071083) |
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| 摘 要： | 设F为区域D内的一族全纯函数,a1、a2为2个不同的有穷复数,M为正整数.若对任意的f∈F,f(z)-a1至多有M个零点,且f-ai(i=1,2)的零点重级至少为2,则F在区域D内正规.
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| 关 键 词： | 全纯函数 正规族 分担值 |
| 收稿时间： | 2011/4/22 0:00:00 |
Normal Families and Shared Values of Holomorphic Functions |
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| DENG Bing-mao and LEI Chun-lin.Normal Families and Shared Values of Holomorphic Functions[J].Journal of South China Agricultural University,2012,33(2):270-272. |
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| Authors: | DENG Bing-mao and LEI Chun-lin |
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| Institution: | (College of Sciences,South China of Agricultural University,Guangzhou 510642,China) |
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| Abstract: | Let F be a family of holomorphic functions in domain D,let a1,a2 be 2 distinct finite complex numbers,and let M be a positive integer.Suppose that each f ∈F,f(z)-a1 has at most M zeros,and all zeros of f-ai(i=1,2) have multiplicity at least 2,then F is normal in D. |
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| Keywords: | holomorphic functions normal families shared values |
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