分擔三個公共值的亞純函數(shù).pdf

1、廈門大學碩士學位論文分擔三個公共值的亞純函數(shù)姓名：林秀清申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：嚴榮沐20060501ABSTRACTInthisthesiswedealwiththeproblemofuniquenessofmeromo蜥cfunctionsthatsharethreevaluesInthecaseofmeromo州cfunctionssharingtwovaluesCMandonevalueIM，someknown

2、resultsareoMmnedunderweakerconditionsAlsoWegeneralizsomeresultsfrom‘‘CM”sharingtoweightedsharingSeveralrelevanttheoremsgivenbyHXYi，QiuOangdiandILahiriareimprovedTheorem1Letfundgshare(oo，O)，(1，一)and(O，co)If；N(r’擊)N2(r)(^o

3、(1))T(r。for^1andN2(r)=N2(r—_L一)N2(rDN2(r，g)thenaand1aarePicardr—aexceptionalvaluesoffandgrespectivelyandalso∞isSOand(f—a)(ga1)iaO一日、WhereN2(r，f)denotesthecountingfunctioncorrespondingtothepolesoffwhosesimplepoleiscounted

4、onceandthemultiplepoleisonlycountedtwice，N2(rg)andN2(r，_L)，一日aredefmedsimilarlyacc。rdingt。ga們了二1respectivelyTheorem2Letfandgshare(O，1)，(oo，0)and(1，一)IfNI也亭卜Ⅳ(r)f)2Na(r，D(o(”)T(r)fbro九曇andT(r)=maxT(r，f)，T(r’f)／thenf；g。r垮=