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全纯函数与其复合函数的正规族
引用本文:郑建华,韩云瑞. 全纯函数与其复合函数的正规族[J]. 清华大学学报(自然科学版), 1996, 0(2)
作者姓名:郑建华  韩云瑞
作者单位:清华大学应用数学系!北京100084
摘    要:设{f(z)}是整函数族。目的是讨论{f(z)}和{f[f(z)]f}的正规族之间的关系,并且证明:设对每个f(z)。若{f[f(z)]:f}在区域D上正规,则也在D上正规。

关 键 词:正规性  整函数  全纯函数

Normal families of holmorphic functions and their compositions
Zheng Jianhua,Han Yunrei. Normal families of holmorphic functions and their compositions[J]. Journal of Tsinghua University(Science and Technology), 1996, 0(2)
Authors:Zheng Jianhua  Han Yunrei
Abstract:Let {(f(z) } be a family of entire functions. The purpose of the paper is to discuss the relation for normalities between {f(z) } and {f(f(z) } and show the main result: That {f(f): f} is normal in D implies that is normal in D, if for each , |f(0)|<1.
Keywords:normality  entire functions  holmorphic functions  
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