complex-functions-examples-c-4 power series.pdf

《complex-functions-examples-c-4 power series.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、Complex Functions Examples c4 Power series Leif Mejlbro Download free books at LeifMejlbroComplexFunctionsExamplesc-4PowerseriesComplexFunctionsExamplesc-4–Powerseries©2008LeifMejlbro&VentusPublishingApSISBN978-87-7681-388-8ComplexFunctionsExamplesc-4ContentsC

2、ontentsIntroduction51.Somesimpletheoreticalresultsconcerningpowerseries62.SimpleFourierseriesintheTheoryofComplexFunctions113.Powerseries134.Analyticfunctionsdescribedaspowerseries375.Lineardifferentialequationsandthepowerseriesmethod666.Theclassicaldifferenti

3、alequations907.Somemoredifficultdifferentialequations1008.Zerosofanalyticfunctions1129.Fourierseries12710.Themaximumprinciple132Fast-trackyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-timepostgraduateworkexperien

4、ce,LondonBusinessSchool’sMastersinManagementwillexpandyourPleaseclicktheadvertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinconsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemployersdemand.Through11m

5、onthsoffull-timestudy,youwillgainthebusinessknowledgeandcapabilitiestoincreaseyourcareerchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnitedKingdomFormoreinformationvisitwww.london.edu/

6、mim/Tel+44(0)2070007573Emailmim@london.eduemailmim@london.eduorcall+44(0)2070007573www.london.edu/mim/4ComplexFunctionsExamplesc-4IntroductionIntroductionThisisthefourthbookcontainingexamplesfromtheTheoryofComplexFunctions.Inthisvolumeweshallonlyconsidercomple

7、xpowerseriesandtheirrelationshiptothegeneraltheory,andfinallythetechniqueofsolvinglineardifferentialequationswithpolynomialcoefficientsbymeansofapowerseries.EvenifIhavetriedtobecarefulaboutthistext,itisimpossibletoavoiderrors,inparticularinthefirstedition.Itismyhop

8、ethatthereaderwillshowsomeunderstandingofmysituation.LeifMejlbro11thJune20085ComplexFunctionsExamplesc-4Somesimpletheoreticalresultsconcerningpowerseries1Somesimpletheoreticalresul