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Normality Of Differential Polynomials On Meromorphic Function

Posted on:2010-01-03Degree:MasterType:Thesis
Country:ChinaCandidate:Z W ZhangFull Text:PDF
GTID:2120360275493322Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let F be a family of meromorphic functions on the plane domain D,P(z,f,f') = P0(z, f)(f')m+P1(z, f)(f')m-1+....+Pm(z,f) is differential polynomial about z,f,f', degzPj(z, f)= Cj(f) is order of Pj(z,f) about z. a1,a2,a3∈C are three distinct numbers. S ={a1,a2,a3}. For any f∈F there exitsδ>0, such that if f(z)∈S then |P0(z,f)|>δ.If for every f∈F , f and P(z, f,f') share the set S, then F is normal on D .
Keywords/Search Tags:meromorphic function, Normality, differential polynomial, Holomorphic
PDF Full Text Request
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