简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.
简介:InfluenceoftheeffectivefermionhexadecapoleforcenewlyincorporatedinamicroscopicsdgIBM-1onspectra,reducedE2andE4transitionmatrixelements(T(E2)sandT(E4)s)intheeven-evenplatinumisotopes(A=192,194,196,198)isinvestigatedintermsofnumericalcalculations.ItisfoundthattheintroducedinteractioncausesonlylimitedmodificationtothespectrumandT(E2)s,apartfromafewexceptions.However,itplaysanessentialroleindescribingE4transitions.Thusinthecasethattheinteractionisincorporatedwithcertainstrength,areasonabledescriptionofalltheE4transitionsintheplatinumisotopesisreachedinthemicroscopicsdgIBM-1incomparingbothtoexperimentaldataandtheresultscalculatedinphenomenologicalbosonmodel.``
简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpolationonthezerosof(1-x)Pn-1α,β(x)(α>-1,β≥-1)inamanageableformisestablished,wherePn-1α,β(x)standsforthe(n-1)thJacobipolynomial.Meanwhile,theexplicitrepresentationofthefundamentalpolynomialswhentheyexist,isgiven.
简介:SINGULARITYANDQUADRATUREREGULARITYOF(0,1,...,m-2,m)─INTERPOLATIONONTHEZEROSOF(1-x)Pn-1αβ(x)ShiYingguang(史应光)(ComputingCe...
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