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Shared Values And Normal Families

Posted on:2011-08-03Degree:MasterType:Thesis
Country:ChinaCandidate:S H LiFull Text:PDF
GTID:2120360305498888Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let F and G be two families of functions meromorphic on a domain D, a1, a2, a3,a4 be four distinct finite complex numbers. If G is normal, and for every f∈F, there exists g∈G such that f(z) and g(z) share a1,a2,a3,a4, then F is normal in D.
Keywords/Search Tags:meromorphic function, Holomorphic function, Zero point, Multiplicity, Shared value
PDF Full Text Request
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