亚纯函数的分担值与正规族

Abstract

Abstract:

Let k(≥2) be a positive integer, let M be a positive number, let h(z) be a holomorphic function in a domain D, h≠0, and let F be a family of meromorphic functions in D, all of whose zeros have multiplicity at least k+1, and whose poles are multiple. If, for each f ∈F, |f(z)|≥M whenever f ^k(z)=h(z), then F is normal in D.

Key words: Normal families, Meromorphic functions, Shared values

CLC Number:

30D45

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WANG Xue-Qin. Normal Families and Shared Values of Meromorphic Functions[J].Acta mathematica scientia,Series A, 2014, 34(4): 1008-1013.

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Normal Families and Shared Values of Meromorphic Functions

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