Some Results on Unicity of Entire Functions Related to Normal Families

被引:0
作者
章文华 [1 ]
机构
[1] Dept.of Mathematics East China Univ.of Science and Technology Shanghai 200237
关键词
holomorphic function; unicity; normal family; derivative;
D O I
暂无
中图分类号
O174.5 [复分析、复变函数];
学科分类号
070104 ;
摘要
This paper studied the connection between normal family and unicity, and proved some results on unicity of entire functions. Mostly, it was proved: Let f be a nonconstant entire function, and let a, c be two nonzero complex numbers. If E(a,f)=E(a,f′), and f″(z)=c whenever f′(z)=a, then f(z)=Ae~ cza +ac-a~2c. The proof uses the theory of normal families in an essential way.
引用
收藏
页码:113 / 115
页数:3
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