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The Study Of Uniqueness Of Meromorphic Functions Sharing A Small Function

Posted on:2012-01-09Degree:MasterType:Thesis
Country:ChinaCandidate:X ChenFull Text:PDF
GTID:2120330338457633Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
The study of the uniqueness problems of meromorphic functions is an important re-search in the value distribution ,this aroused domestic and overseas scholars'attentions.Inthis thesis,we mainly study the uniqueness problem of meromorphic functions sharing a smallfunction.First,we discuss the uniqueness problem of meromorphic functions sharing a smallfunction with their linear di?erential polynomials by using normal families of meromorphicfunctions.Next, we also study the uniqueness problem of two meromorphic functions'firstderivatives sharing a nozero small entire function under the conditions of weighted sharing.
Keywords/Search Tags:Meromorphic functions, small function, small entire function, lineardi?erential polynomials, uniqueness, weighted sharing
PDF Full Text Request
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