【摘 要】
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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 n
【机 构】
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Dept. of Mathematics, East China Univ. of Science and Technology, Shanghai 200237, China
论文部分内容阅读
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.
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