complex-functions-examples-c-8 - some classical transforms.pdf

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1、Complex Functions Examples c8 Some Classical Transforms Leif Mejlbro Download free books at LeifMejlbroComplexFunctionsExamplesc-8SomeClassicalTransformsComplexFunctionsExamplesc-8–SomeClassicalTransforms©2008LeifMejlbro&VentusPublishingApSISBN978-87-7681-392-5ComplexFunct

2、ionsExamplesc-8ContentsContentsIntroduction51.Sometheoreticalbackground61.1TheLaplacetransform61.2TheMellintransform81.3Thez-transform91.4Lineardifferenceequationsofsecondorderandofconstant10coefficients2.TheLaplacetransform123.TheMellintransform624.The3-transform655.TheFou

3、riertransform756.Lineardifferenceequations827.Distributiontheory92Fast-trackyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-timepostgraduateworkexperience,LondonBusinessSchool’sMastersinManagementwillexpandyourPleaseclickthead

4、vertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinconsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemployersdemand.Through11monthsoffull-timestudy,youwillgainthebusinessknowledgeandcapabilitiestoincreaseyourcaree

5、rchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnitedKingdomFormoreinformationvisitwww.london.edu/mim/Tel+44(0)2070007573Emailmim@london.eduemailmim@london.eduorcall+44(0)2070007573www.london.edu/mi

6、m/4ComplexFunctionsExamplesc-8IntroductionIntroductionThisistheeighthbookcontainingexamplesfromtheTheoryofComplexFunctions.InthisvolumeweshowhowwecanapplythecalculationsofresiduesinconnectionwithsomeclassicaltransformsliketheLaplacetransform,theMellintransform,thez-transfo

7、rmandtheFouriertransform.IhavefurthersuppliedwithsomeexamplesfromtheTheoryofLinearDifferenceEquationsandfromtheTheoryofDistributions,alsocalledgeneralizedfunctions.EvenifIhavetriedtobecarefulaboutthistext,itisimpossibletoavoiderrors,inparticularinthefirstedition.Itismyhopeth

8、atthereaderwillshowsomeunderstandingofmysituation.LeifMejlbro22ndJune20085ComplexFunction