简介：

简介：Simplifytheproofonthedomainofconvergenceofmultiplepowerseriesandconsiderthecasewheresomeofz1,···,znarecontainedonlyinafinitenumberoftermsoftheseries.ObtainsomeresultsonholomorphicfunctionsinCn.

简介：WegiveaSchwarz-PickestimateforboundedholomorphicfunctionsonunitballinC~n,andgeneralizesomeearlyworkofSchwarz-PickestimatesforboundedholomorphicfunctionsonunitdiskinC.

简介：ItisknownthatthereexistsanisogenysortofChevalleygroupsG(∑,F)associatedtoanyindecomposablerootsystem∑andanyfieldF.InthispapertheauthordeterminesallnontfivialhomomorphismsfromG(∑,k)toG(∑,K)whentherootsystem∑isoftypeCnorG2,andthefieldskandKarefinitefieldsofcharacteristiep.

简介：Inthisarticle,first,asufficientconditionforastarlikemappingoforderαf(x)definedontheunitballinacomplexBanachspaceisgiven.Second,thesharpestimateofthethirdhomogeneousexpansionforfisestablishedaswell,wheref(z)=(f1(z),f2(z),...,fn(z))’isastarlikemappingoforderαoranormalizedbiholomorphicstarlikemappingdefinedontheunitpolydiskinCn,andOurresultstatesthattheBieberbachconjectureinseveralcomplexvariables(thecaseofthethirdhomogeneousexpansionforstarlikemappingsoforderαandbiholomorphicstarlikemappings)ispartlyproved.