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Shared Values And Uniqueness Of Meromorphic Functions

Posted on:2009-07-12Degree:MasterType:Thesis
Country:ChinaCandidate:Z C ShiFull Text:PDF
GTID:2120360272475001Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
The uniqueness theory of meromorphic functions is an important subject in value distribution theory.Many mathematicians such as E.Mues,F.Gross,G.G.Gundersen,G.Frank,N.Steinmrtz, I.Lahiri,W.Bergweiler ,Jank-Wolkmann,H.Ueda,C.C.Yang,Q.L. Xiong,L.Yang,H.X.Yi and Y.X.Gu had done a lot of work on the reaserch of the uniqueness theory.In this paper, by using the Nevanlinna's value distribution theory,we study the uniqueness of meromorphic functions.And using the idea of weighed sharing , deal with the uniqueness problems on entire functions with its k-th differential polynomials and the uniqueness problems on some certain types of meromorphic functions differential polynomials.And obtained some results,which perfect and generalize the present conclusions.
Keywords/Search Tags:meromorphic functions, entire functions, differential polynomials, weighed sharing, uniqueness
PDF Full Text Request
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