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WANG Xiao-jing, PANG Xue-cheng. Normal Family of Holomorphic Functions(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 21-25.
Citation:
WANG Xiao-jing, PANG Xue-cheng. Normal Family of Holomorphic Functions(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 21-25.
WANG Xiao-jing, PANG Xue-cheng. Normal Family of Holomorphic Functions(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 21-25.
Citation:
WANG Xiao-jing, PANG Xue-cheng. Normal Family of Holomorphic Functions(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 21-25.
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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