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A Normal Criterion About Two Families Of Meromorphic Functions Concerning Shared Values

Posted on:2015-02-13Degree:MasterType:Thesis
Country:ChinaCandidate:R JiangFull Text:PDF
GTID:2250330431459092Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper we mainly prove the following result:Let F and G be two families of functions meromorphic on a domain D (?) C, all of whose zeros have multiplicity at least k;. Let h (h≥0) be a constant and a is a finite complex number (|a|>h), for every f∈F and every g∈g, we have f(z)=0=(?)|f(k)(z)|≤h,g(z)=0(?)|g(k)(z)|≤h. Assume also that g is normal on D, and for any subsequence{gn} of g, gn=>9, we have g(?)∞and g(k)(?)α on D. If for every f∈F, there exists p∈g such that...
Keywords/Search Tags:Normal, meromorphic functions, zero point, multiplicity, shared values
PDF Full Text Request
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