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On The Normality Of Meromorphic Functions Related To Shared Values

Posted on:2011-10-31Degree:MasterType:Thesis
Country:ChinaCandidate:C B WangFull Text:PDF
GTID:2120360305999430Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let k be a positive integer and b a nonzero constant. Suppose that T is a family of meromorphic functions in a domain D, all of whose zeros have multiplicity at least k+2. If, for any two functions f, g∈F, f(k) and g(K) share b in D,f(k)(z)=b(?)|f/(z)|≥c (for some positive number c), then F is normal in D.Let k be a positive integer. Suppose that T is a family of meromorphic functions in a domain D, all of whose zeros have multiplicity at least k+2. If, for any f(z)∈F, if there exists g∈F such that for every f(z)∈F,satisfying f(z)=0(?)g(z)=0,f(k)(z)=1(?)g(k)(z)= 1, then F is normal in D.
Keywords/Search Tags:Meromorphic function, Normality, Zero point, Multiplicity, Shared point
PDF Full Text Request
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