A normal criterion of families of holomorphic functions

ANALYSIS AND MATHEMATICAL PHYSICS（2021）

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摘要

Let ℱ be a family of holomorphic functions on a domain D , and let h(≢0) be a holomorphic function on D . If every f∈ℱ , f(z)=0⇒ |f'(z)|≤ |h(z)| , and f'(z) h(z) , then ℱ is normal on D .

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关键词

Holomorphic function,Normal family,Fixed-point

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