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The Problems About Uniqueness And Value-sharing Of Meromophic Function

Posted on:2012-03-04Degree:MasterType:Thesis
Country:ChinaCandidate:H HuangFull Text:PDF
GTID:2210330368486992Subject:Basic mathematics
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In 1929.R Nevanlinna%unded tow basic theorems of mermorphic functions.andthen the study of value distribution theory of modern times started The resent severaldecades predecessors used of the value distribution to resolve many problems aboutthe uniqueness of mermorphic functions and obtain lots of pro~und results The paperis based on the theorems which predecessors had built,the uniqueness of mermorphicfunction about the some fOrms of different polynomials and the uniqueness of mermor—phic function in an angular domain can be studied Also the whole paper is dividedfOur chaptersThe first chapter of the paper is about preliminary theory,we mainly introducedthe background of the paper,briefly introduced the main content of Nevanlinna'S the—ory,the uniqueness of mermorphic function and relational signs,fundamental theoryThe second chapter discussed the uniqueness of mermorphic function about thedifferential polynomials of the fOrm ff.we got some results by the multiplicity A ofthe valueThe third chapter mainly discussed the uniqueness of mermorphic function whosedifferential polynomials share one value in an angular domain,which is a genera¨zaionand improvement of Xiaomin Li,Hongxun Yi ereThe urth chapter mainly concerned with the uniqueness of entire function COIl—cerning fixed points and differential polynomials of the form[,which is ageneralizaion and improvement of Weichuang Lin ere...
Keywords/Search Tags:entire function, inerinorqhic function, sharing value, uniqueness, differential polynoinials, angular domain
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