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1、COMPLEXANALYTICMETHODSFORPARTIALDIFFERENTIALEQUATIONSANINTRODUCTORYTEXTHeinrichG.W.BegehrComplexAnalyticMethodsforPartialDifferentialEquationsCOMPLEXANALYTICMETHODSFORPARTIALDIFFERENTIALEQUATIONSANINTRODUCTORYTEXTHeinrichG.W.BegehrMathematikFreieUniversita
2、tBerlinWorldScientificVPSingaporeNewJerseyLondonHongKongPublishedbyWorldScientificPublishingCo.Pte.Ltd.P0Box128,FatterRoad,Singapore9128USAoffice:Suite1B,1060MainStreet,RiverEdge,NJ07661UKoffice:73LyntonMead,Totteridge,LondonN208DHLibraryofCongressCatalogi
3、ng-in-PublicationDataBegehr,HeinrichG.W.Complexanalyticmethodsforpartialdifferentialequations:anintroductorytext/HeinrichG.W.Begehr.p.cm.Includesbibliographicalreferencesandindexes.ISBN98102155091.Differentialequations,Partial--Numericalsolutions.2.Functio
4、nsofcomplexvariables.3.Mathematicalanalysis.I.Title.QA377.B431994515'.353--dc2O94-34414CIPCopyright01994byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,including
5、photocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,27CongressStreet,Salem,MA01970,
6、USA.PrintedinSingaporebyUto-PrintInmemoryofmyparentsandmysisterEddaJaegerPrefaceFormorethanonecenturycomplexanalysishasfascinatedmathematicianssinceCauchy,WeierstraOandRieniannhadbuiltupthefieldfromtheirdifferentpointsofview.Richness,beautyandfascinationor
7、iginatefromthecoincidenceofanalytic,algebraicandgeometricmethods.Whilethetheoryofmeromorphicfunctionscul-minatedinvaluedistributiontheory,forseveraldecadesgeometricalfunctiontheoryflourhished,andcomplexapproximationtheorywasdeveloped.Forrecentbooksintheset
8、opicssee[Gaie80],[Laga86],[Pomm92]andalsothesurveyarticle[Gaie90].Anexcellentpresentationofclassicalcomplexanalysisincludingmanyhistoricalfactsandremarksarethetwovolumes[Remrn92].'t'herearemanyotherfacetsofco
