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摘要: 设F为单位圆盘⊿上的 一个全纯函数族,M,N为两个正实数. 如果对于任意的 f∈F,f的零点重级≧ m$, 且f(z)=0= |f(m)(z)| ≦M , f(m)(z)=1 = |f(z)| ≧N则F在⊿上正规.Abstract: A normality criterion for a family of holomorphic functions was got. Let F be a family of holomorphic functions on the unit disk ⊿, all of whose zeros are of multiplicity at least m; let M,N be two positive numbers; if for any f∈F, f(z)=0= |f(m)(z)| ≦M ,f(m)(z)=1 = |f(z)| ≧N , then F is normal on ⊿.
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Key words:
- normal familyentire functionholomorphic function /
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