| 超越整函数的正规族{f（2nz）}（英文） |
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| 引用本文： | 南华.超越整函数的正规族{f（2nz）}（英文）[J].延边大学理工学报,2010,36(2):109-113,169. |
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| 作者姓名： | 南华 |
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| 作者单位： | 延边大学理学院,数学系,吉林,延吉,133002 |
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| 摘 要： | 研究了在一给定开集G=G1∪G2内使得集族{f（2nz）：n∈N}成为正规族的整函数f的存在性,并且证明了此集族恰在集合G1内有限正规而在集合G2内正规但非有限正规.
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| 关 键 词： | 正规族 2n-平移 2n-周期 Arakelian集 |
Normal Families {f(2nz)} of Transcendental Entire Functions |
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| NAN Hua.Normal Families {f(2nz)} of Transcendental Entire Functions[J].Journal of Yanbian University (Natural Science),2010,36(2):109-113,169. |
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| Authors: | NAN Hua |
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| Affiliation: | NAN Hua (Department of Mathematics,College of Sciences,Yanbian University,Yanji 133002,China) |
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| Abstract: | We study the existence of an entire function f in the complex plane C such that the family {f（2nz）：n∈N} forms a normal family exactly for z in a given open set G=G1∪G2.And we prove that its 2n-translated family is finitely normal exactly on G1 and normal but not finitely normal on G2. |
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| Keywords: | normal family 2n-translation 2n-periodic Arakelian set |
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