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Shared Values And Normal Families

Posted on:2012-11-07Degree:MasterType:Thesis
Country:ChinaCandidate:T HuangFull Text:PDF
GTID:2120330335465177Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let F be a family of meromorphic functions on a domain D, all of whose ze-ros have multiplicity k and poles have multiplicity at least 2, where k≥1 is an integer. for ev-ery f∈F,f=0(?)f(k)=1.If F1,F2(?)F,and for every f∈F1, there exists g∈F2 such that f(z) and g(z) share the value 0, F2 is normal, then F1 is normal on D.
Keywords/Search Tags:Meromorphic function, Normal, Zero point, Multiplicity, Shared value
PDF Full Text Request
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