Quasinormality of order 1 for families of meromorphic functions

Quasinormality of order 1 for families of meromorphic functions
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DOI:
10.2996/kmj/1093351322
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发表时间:
2004-06
影响因子:
0.6
通讯作者:
Shahar Nevo;X. Pang
Shahar Nevo;X. Pang
中科院分区:
数学4区
文献类型:
--
作者:
Shahar Nevo;X. Pang

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设F是平面域D上的亚纯函数族,其零点都是重零点。设f ∈ k ∈ z ∈ 0 1对所有的f A F和z A D。则如果F在D上拟正规,则它在D上是1阶拟正规的。
Let F be a family of functions meromorphic on the plane domain D, all of whose zeros are multiple. Suppose that f ðkÞðzÞ0 1 for all f A F and z A D. Then if F is quasinormal on D, it is quasinormal of order 1 there.