Some Results on Unicity of Entire Functions Related to Normal Families

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)=Aecz/a+ac-a2/c. The proof uses the theory of normal families in an essential way.

作 者： ZHANG Wen-hua   作者單位： Dept. of Mathematics, East China Univ. of Science and Technology, Shanghai 200237, China  刊 名： 上海交通大學學報（英文版）  EI 英文刊名： JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY  年，卷(期)： 2006 11(1)  分類號： O174.5  關(guān)鍵詞： holomorphic function   unicity   normal family   derivative  

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