亚纯函数及其k阶导数的唯一性.pdf

V01．23r2003、 数学杂志 No．4 J．ofMath．(PRC) OFⅣ皿ROMORPHICFUNCTIONSAND UNIQUENESS THEIRJ}一th DERIVATⅣES4 w“gJiaIl—pi“g(王建平) (D印￡．驴M以h．，5h帆dong№幻e腊i机五n帆，250100) (D印^矿肘删h．，s矗删xingcoff8酽o，Am帆dsciences，s^∞zin岛312000) Abstract：Int11i5 the for fLlnctionswith de6cient p8por． l】niquenes8memmorphic 5pecj8l rIumber词aLiQnswhi(．II th萌rk一如dedvatives dininctsmaU the8e协of t(19。th盯wim sh鲥ng functionshasbeen nndthe u Gu studied， concen“gresuhs百venby Ji叽g—t∞andYo”g—xj“g， C HX．ek．h“ebeen and C．，Yi gene“dized Y肌g improved． Keywords：皿er‘，morphicfuncⅡon；small function． function；sh耐“g 20帅MR Cla商6ca廿on：3帕35． Subject Docmemcode：A AnicleⅢ：0255—7797f2003)04—0467一10 1．Intl·oductionandMainlksults It isassumedthatthereaderis fhmiliarwiththe andthefunda— stalldardnotations memalresultsof 0f functionB be Nevalllinna龟theorymeromorphic (c￡[1—3D，kt，andg twononcollstant func“onsinthe C． A function meromorphic complelplane mer0咖rphic t0 asmaufunction said be that pmvided 妒0)is 0f，andg z1(r，功=min{s(r力，s(r，西)． kIs bea nIlitesetofdisdncts