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与例外函数列相关的正规族

, PP. 154-159

Keywords: 亚纯函数,正规族,例外函数列

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Abstract:

设~$\{f_{n}\}$~是区域~$D$~内的亚纯函数列,~其零点的重级均~$\geq3$,且均仅有一个重级极点.~$\{h_{n}\}$~是~$D$~内的亚纯函数列,~且~$h_{n}\Rightarrowh$~于~$D$,$h\not\equiv\infty,h\ne0$.若~$f'_{n}\neh_{n}$,则~$\{f_{n}\}$~在~$D$~内正规.

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