拉格朗日反演的擬卷積公式及其組合證明.pdf

1、蘇州大學(xué)碩士學(xué)位論文拉格朗日反演的擬卷積公式及其組合證明姓名：蔣茂勇申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：馬欣榮2001.4.1TheconvolutioI卜夠peidentityofLagrangeinversionformulaandit’scombinatorialproofAbstractThisthesisiScomposedoffoursectionsanditsthemeiSconcernedwithLagrangei

2、nversionformulaInsectionone，someapplicationsofLagrangeinversionrelatedtoridangroupissketched，Acombinatorialidentityisobtained：(=)=“f芝02“ml2ry洳一r)■m1]Asmainresultofthispaperinsectiontwo，theconvolutiontypeidentitiesemergef

3、romourdiscussionaboutLagrangeformulawhominauthor’SviewcanbetakenastheinherentcharacteristicofLagrangeformulabuthavebeenignoredf6iSOlongtimeSomeoldandnewapplicationsofthoseformulaarealsoinvestigatedingreatdetailsThesectio

4、nthreediscussesfurthertheconvolution啕，peidentitiesobtainedinsectiontwoandfinallysetsuponecorrespondingexponentialformula，displayedinTheorem321It’SnewapplicationstocombinatoricsarepresentedFinally，acombinatorialproofofthe

5、formulac，，。中”(，)=∑亡c，。m。(f)c，一o”。(，)isprovidedinsectionfourafteranewmathematicalmodelsheepclonesmodelhavingbeendefinedanddiscussedInsectionfivewerestatetheresultsthatwehaveobtainedMaoyongJiangDirectedbyassociateprofessor