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On The Normality Of Certain Kind Of Meromorphic Functions

Posted on:2009-07-07Degree:MasterType:Thesis
Country:ChinaCandidate:K X LiuFull Text:PDF
GTID:2120360245473991Subject:Applied Mathematics
Abstract/Summary:
Let F be a family of meromorphic functions on the plain domain D, a1 and a2,a3 are three distinct complex numbers. If for every f∈F,f(z) = a1(?)fk(z) = a1,f∈{a1,a2}(?) fk∈{a1,a2}, and the zeros of f-a1 are of multiplicity at least k, then F is normal on D.
Keywords/Search Tags:meromorphic function, normal family, share a set
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