| 与微分多项式分担值相关的正规定则(英文) |
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| 引用本文： | 邓炳茂,雷春林,杨德贵.与微分多项式分担值相关的正规定则(英文)[J].数学季刊,2013(1):87-92. |
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| 作者姓名： | 邓炳茂 雷春林 杨德贵 |
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| 作者单位： | South China Institute of Software Engineering, Guangzhou University;Institute of Applied Mathematics, South China Agricultural University |
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| 基金项目： | Supported by the NNSF of China(11071083);Supported by the National Natural Science Foundation of Tianyuan Foundation(11126267) |
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| 摘 要： | Let F be a family of functions meromorphic in a domain D, let m, n k , k be three positive integers and b be a finite nonzero complex number. Suppose that, (1) for eachf∈F, all zeros of f have multiplicities at least k ; (2) for each pair of functions f, g ∈F,P(f)H(f) and P(g)H(g) share b, where P(f) and H(f) were defined as (1.1) and (1.2) and nk ≥ max 1≤i≤k-1 {n i }; (3) m ≥ 2 or nk ≥ 2, k ≥ 2, then F is normal in D.
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| 关 键 词： | meromorphic function normality shared value |
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