亞純函數(shù)的微分多項式例外集和導(dǎo)數(shù)虧量和.pdf

1、中南大學(xué)博士學(xué)位論文亞純函數(shù)的微分多項式例外集和導(dǎo)數(shù)虧量和姓名：詹小平申請學(xué)位級別：博士專業(yè)：概率論與數(shù)理統(tǒng)計指導(dǎo)教師：蔡海濤2001.1.1AbstractSinceLehto，0presentedtheconceptofexceptionalsetofentirefunctionsandmeromorohicfunctions，manyfamousscholarshavestudiedonit，andachievedlOtAnder

2、son，BakerandClunieputforwardthepmb—lemofexceptionalset0fdifferentialpolynomials，whichissolvedtom—pletelyforentirefunctionsinthisarticle；besides，theauthormakesgreatprogressinresearchofmeromorphicfunctionsTheestimateofdeft

3、ciencysumofmereomo珥Ihiederivativesisartimportantstudyfieldinvaluedistributiontheoryofmeromorphicfunc。tionsThisarticledoesalotonMues’SandDrasin’Sguessofpreciseesti—mateofdeficiencysumofmemmorphicfunctionsanditsderivatives

4、，(7)zawaSresearchofd’Saccuratevalueconcernedwithdeficiencysumofmeromorphicderivativesandk(X)，preciseestimateondeficiencysuinoflinearindependentfunctions，andimprovestheresultsgivenbyfamousexpelsYangL0eta1Thisarticleconsis

5、tsof。fourpartsPartIisintroduction，introducingmainlythestudybarkground，basicdefinitionsandSignsofthevaluedis—tributionofmeromorphicfunctionsPartIIdiscussestheexceptionalsetofdifferentialpolynomialsinentirefunctionsPartⅢis

6、devotedtothediscussionoftheexceptionalsetofdifferentialpolynomialsinmeroⅡ10r—phicfunctionsPartIVdealswithdeficiencySUlTImeromorphicdeviva—fivesKeywords：Entirefunction，Meromorphiefunction，Exceptionalset，Deficiency，Differe