简介：<正>Inthispaper,wedealwiththeproblemofuniquenessofentireormeromorphicfunctionsandobtainsomeresultsthatareimprovementsoverthoseofM.Ozawa,H.Ueda,K.ShibazakiandYiHongxun.Anexampleshowsthattheresultsinthispaperaresharp.

简介：NewcriteriaforananalyticfunctiontobeBlochandforameromorphicftnctiontobenormalaregiven.ThesecriteriagenerelizetherecentlyintroducedareaintegralconditionsinvolvingaGreen'sfunction.

简介：Letfbeanonconstantentirefunction;letk≥2beapositiveinteger;andletabeanonzerocomplexnumber.Iff(z)=af′(z)=a,andf′(z)=af~(k)(z)=a,theneitherf=Ce~(λz)+aorf=Ce~(λz)+a(λ-1)/λ,whereCandλarenonzeroconstantswithλ~(k-1)=1.TheproofisbasedontheWiman-Valirontheoryandthetheoryofnormalfamiliesinanessentialway.

简介：关于为合理功能设置的朱莉娅的连续性基于McMullen的工作，在这篇论文，我们为满足一些条件的全部功能的一个家庭讨论朱莉娅集合和它的Hausdorff尺寸的连续性。

简介：Aunicitytheoremconcerningthetotalderivativeforentirefunctionsofseveralcomplexvariablesisproved.

简介：Inthispaper,weobtainsomeexistenceresultsforaclassofsingularsemilinearellipticproblemswhereweimprovesomeearlierresultsofZhijunZhang.WeshowtheexistenceofentirepositivesolutionswithoutthemonotonicconditionimposedinZhang'spaper.Themainpointofourtechniqueistochooseanapproximatingsequenceandproveitsconvergence.ThedesiredcompactnesscanbeobtainedbytheSobolevembeddingtheorems.

简介：ThevaluedistributionofentirefunctionsdefinedbyDirichletseriesarestudiedinthispresentarticle.ItisprovedthatentirefunctionsdefinedbyDirichletserieshavethepitsproperty,whichimprovetherelativeresultsonlacunaryTaylorseriesobtainedbyLittlewoodJ.E.andOffordA.C.

简介：<正>Letf（z）beanentirefunctionoforderλandoffinitelowerorderμ.Ifthezerosoff（z）accumulateinthevicinityofafinitenumberofrays,then（a）λisfinite;（b）foreveryarbitrarynumberk1>1,thereexistsk2>1suchthatT（k1r,f）≤k2T（r,f）forallr≥r0.Applyingtheaboveresults,weprovethatiff（z）isextremalforYang’sinequalityp=g/2,then（c）everydeficientvalueoff（z）isalsoitsasymptoticvalue;（d）everyasymptoticvalueoff（z）isalsoitsdeficientvalue;（e）λ=μ;（f）∑a≠∞δ5（a,f）≤1-k（μ）.

简介：Inthispaper,wemainlyinvestigateentiresolutionsofcomplexdifferentialequationswithcoefficientsinvolvingexponentialfunctions,andobtainthedynamicalpropertiesofthesolutions,theirderivativesandprimitives.Withsomeconditionsoncoefficients,forthesolutions,theirderivativesandtheirprimitives,weconsiderthecommonlimitingdirectionsofJuliasetandtheexistenceofBakerwanderingdomain.

简介：Themainpurposeofthispaperistostudytheproblemsontheexistenceofalgebraicsolutionsforsomesecond-ordercomplexdifferentialequationswithentirealgebraicfunctionelementcoefficients.Severaltheoremsontheexistenceofsolutionsareobtained,whichperfectthesolutiontheoryoflinearcomplexdifferentialequations.

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