兩類函數(shù)方程的亞純函數(shù)解.pdf

1、上海交通大學(xué)碩士學(xué)位論文兩類函數(shù)方程的亞純函數(shù)解姓名：徐麗梅申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：余軍揚(yáng)2002.1.1MOROMORPHICSOLUTIONSOFTWOKINDSOFFUNCTl0NALEQUATIONSABSTRACTWeconsidermeromorphiCsolutionsoffunctionalequationsoftheform，(口)=R(z，，(z))=妻絲圭JffiObj(z)f’(z)wheret

2、hecoefficientsq0)，bj(z)aremeromorphicfunctionsandc∈CInthespecialcaseoff(cz)=Ao(z)A1(z)，(z)、A。(z)，4(z)wherec∈Cand如(：)，Al(z)，，An(z)areentire，weprovesomeresultsonthenumberofpolesofmeromorphicsolutionsAndintheparticularcaseo

3、f廠(cz)=A(z)8(Of2(z)whereceC，H1，爿(z)and艿(=)areentire，weofferadetailedanalysisontheexistenceandthenumberofmeromorphicsolutionsInthegeneralizedcaseof妻小a)九a)j=O妻o(。)，，(。)io∑m弘)，憶’=A(cz，廠(口))=占o(jì)，，o))=盅生——～∑～(=)，’(：)wherecmC，f

4、cl1and口』(：)，b，(：)，m，(z)，nJ(z)aremeromorphicfunctions，weproveareSUltonthegrowthofsolutionsInthethirdchapter，weconsidermeromorphicsolutionsinthecomplexplanetofunctionalequationsoftheform∑a，，(c物=Q(：)』10wherec∈C，九∈N，40，q，，口H