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1、MOBK068-FMMOBKXXX-Sample.clsMarch28,20077:33Mellin-TransformMethodforIntegralEvaluationIntroductionandApplicationstoElectromagneticsMOBK068-FMMOBKXXX-Sample.clsMarch28,20077:33Copyright©2007byMorgan&ClaypoolAllrightsreserved.Nopartofthispublicationmayberep
2、roduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans—electronic,mechanical,photocopy,recording,oranyotherexceptforbriefquotationsinprintedreviews,withoutthepriorpermissionofthepublisher.Mellin-TransformMethodforIntegralEvaluationGeorgeFikior
3、iswww.morganclaypool.comISBN:159829184XpaperbackISBN:9781598291841paperbackISBN:1598291858ebookISBN:9781598291858ebookDOI:10.2200/S00076ED1V01Y200612CEM013APublicationintheMorgan&ClaypoolPublishersseriesSYNTHESISLECTURESONCOMPUTATIONALELECTROMAGNETICS#13Le
4、cture#13SeriesEditor:ConstantineA.Balanis,ArizonaStateUniversitySeriesISSN:1932-1252printSeriesISSN:1932-1716electronicFirstEdition10987654321MOBK068-FMMOBKXXX-Sample.clsMarch28,20077:33Mellin-TransformMethodforIntegralEvaluationGeorgeFikiorisSchoolofElect
5、ricalandComputerEngineeringNationalTechnicalUniversityofAthensAthens,GreeceSYNTHESISLECTURESONCOMPUTATIONALELECTROMAGNETICS#13MMorgan&ClaypoolPublishers&CMOBK068-FMMOBKXXX-Sample.clsMarch28,20077:33ivABSTRACTThisbookintroducestheMellin-transformmethodforth
6、eexactcalculationofone-dimensionaldefiniteintegrals,andillustratestheapplicationifthismethodtoelectromagneticsproblems.Oncethebasicshavebeenmastered,onequicklyrealizesthatthemethodisextremelypowerful,oftenyieldingclosed-formexpressionsverydifficulttocomeupwi
7、thothermethodsortodeducefromtheusualtablesofintegrals.Yet,asopposedtoothermethods,thepresentmethodisverystraightforwardtoapply;itusuallyrequireslaboriouscalculations,butlittleingenuity.Twofunctions,thegeneralizedhypergeometricfunctionandtheMeijerG-function
8、,areverymuchrelatedtotheMellin-transformmethodandarisefrequentlywhenthemethodisapplied.Becausethesefunctionscanbeautomaticallyhandledbymodernnumericalroutines,theyarenowmuchmoreusefulthantheywereinthepast.The
