| 全纯函数族的正规定则 |
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| 引用本文： | 王建平. 全纯函数族的正规定则[J]. 东北数学, 2003, 19(3): 267-272 |
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| 作者姓名： | 王建平 |
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| 作者单位： | DepartmentofMathematics,ShandongUniversity,Jinan,250100；DepartmentofMathematics,ShaozingCollegeofArtsandSciences,Zhefiang,312000 |
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| 基金项目： | The NNSF (19871050)，the RFDP (98042209) of China. |
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| 摘 要： | Let f be a holomorphic function on a domain D Lontaiu in C, and let a be a finite complex number. We denote by -↑Ef/(a) = {z ∈ D : f(z) = a, ignoring multiplicity} the set of all distinct α-points of f. Let F be a family of holomorphic functions on D. If there exist three finite values a, b(≠ O,α) and c(≠ O) such that for every f ∈F, -↑Ef′/(0) Lontain in -↑Ef(α） and -↑Ef′ (b) Lontain in -↑Ef(c), then F is a normal family on D.
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| 关 键 词： | 全纯函数族 正规定则 亚纯函数 复数 |
Normality Criteria for Families of Holomorphic Functions |
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| WANG Jianping. Normality Criteria for Families of Holomorphic Functions[J]. Northeastern Mathematical Journal, 2003, 19(3): 267-272 |
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| Authors: | WANG Jianping |
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| Abstract: | |
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| Keywords: | meromorphic function holomorphic function normal family |
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