一类平面多项式微分系统赤道环量

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1、485

Vol.48,No.520059
ACTAMATHEMATICASINICASept.,2005:0583-1431(2005)05-0963-10
:A  430072 410075E-mail:mathchb@mail.csu.edu.cn 410075 430072"#$%&'()*,-./(Gauss0'%1234

2、54/)%6,89:*,-./6%;<%=>?AC.DEAC6,-./,FGE**HJK,LM:O6,-./GP%QR%STKUVWX,YZE6[?*]^_`abc
efg.&'hT*;,-./;ACMR(2000)Æ34C05iO175AlgebraicRecursionFormulasforQuantitiesofEquatorinaPlanarPolynomialDifferentialSystemHaiBoCHENMathematic

3、sSchoolofWuhanUniversity,Wuhan430072,P.R.ChinaMathematicsSchoolofCentralSouthUniversity,Changsha410075,P.R.ChinaE-mail:mathchb@mail.csu.edu.cnYiRongLIUMathematicsSchoolofCentralSouthUniversity,Changsha410075,P.R.ChinaXianWuZENGMathematicsSchoolofWuha

4、nUniversity,Wuhan430072,P.R.ChinaAbstractInthispaper,westudythecomputationofquantitiesofequator(singularpointquantitiesofinfinityatGausssphere)inaclassofplanarpolynomialdifferentialsystemwithageneralform.Twolinearrecursionformulasforcomputationofquan-t

5、itiesofequatorareobtained.Tocomputequantitiesofequatorwiththeserecursion
:2004-04-22;
:2004-09-02964!!48formulas,weonlyneedtoforceaddition,substraction,multiplicationanddivisiontothecoefficientsofthesystem,thenavoidcomplexintegratingoperations

6、andsolvingequations.Itissymbolicandeasytorealizewithouterrorswithcomputeralgebrasystem.KeywordsPlanardifferentialsystem;Quantityofequator;RecursionformulasMR(2000)SubjectClassification34C05ChineseLibraryClassificationO1751jk"#$%,&'(
())%*+,

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