Normality Criteria of Meromorphic Functions That Share a Holomorphic Function

被引:1
作者
Ding, Jie [2 ]
Qi, Jianming [1 ]
Zhu, Taiying [1 ]
机构
[1] Shanghai Dianji Univ, Dept Math & Phys, Shanghai 201306, Peoples R China
[2] Shandong Univ, Sch Math, Jinnan 250100, Peoples R China
基金
中国国家自然科学基金;
关键词
NORMAL-FAMILIES; MULTIPLE VALUES;
D O I
10.1155/2012/582854
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let F be a family of meromorphic functions defined in D, let phi((sic)0), a(0), a(1), ... , a(k-1) be holomorphic functions in D, and let k be a positive integer. Suppose that, for every function f is an element of F, f not equal 0, P(f) = f((k)) + a(k-1) f((k-1)) + ... + a(1) f' + a(0) f not equal 0 and, for every pair functions (f, g) is an element of F, P(f), P(g) share phi, then F is normal in D.
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页数:11
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