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The Growth Of [p,q] Order Of Meromerphic Function And Its Applications

Posted on:2013-10-15Degree:MasterType:Thesis
Country:ChinaCandidate:C Y LiuFull Text:PDF
GTID:2180330377459804Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper make use of the basic knowledge of the Nevanlinna value distribution theoryto investigate the growth of relative [p, q]-order of meromorphic functions and apply the entirefunctions of [p, q]-order as coefcients into the linear diferential equations. The paper consists ofthree chapters.In chapter1, we introduce some basic definitions and some basic notations of the Nevanlinnavalue distribution theory.In chapter2,we investigate the relative [p, q] order of two meromorphic functions respect tothe real-valued monotonically increasing function (r).In chapter3,we investigate the growth and the exponent of convergence of zeros of solutionsof with [p, q]-order entire functions two order linear diferential equations.we obtain some theoremsand improve some previous conclusion.
Keywords/Search Tags:meromorphic function, entire function, relative [p,q]-order, [p,q]-order, [p,q] exponent of convergence of zero sequence
PDF Full Text Request
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