摘要
WiththeaidofMullin-Rota'ssubstitutionrule,weshowthattheSheffertypedifferentialoperatorstogetherwiththedeltaoperatorsDandDcouldbeusedtoconstructapairofexpansionformulasthatimplyawidevarietyofsummationformulasinthediscreteanalysisandcombinatorics.Aconvergencetheoremisestablishedforafruitfulsourceformulathatimpliesmorethan20notedclassicalfomulasandidentitiesasconsequences.Numerousnewformulasarealsopresentedasillustrativeexamples.Finally,itisshownthatakindofliftingprocesscanbeusedtoproducecertainchainsof(∞m)degreeformulasform≥3withm≡1(mod2)andm≡1(mod3),respectively.
出版日期
2015年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)