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亚纯函数的唯一性
引用本文:熊维玲. 亚纯函数的唯一性[J]. 数学季刊, 2003, 18(4): 395-399
作者姓名:熊维玲
作者单位:XIONG We-ling (Department of Information and Computing Sciences,Guangxi Institute of Technology,(Liuzhou 545006,) China)
基金项目:SupportedbyNaturalScienceFoundationofGuangxiProvince( 0 3 3 90 18)
摘    要:
§ 1. Introduction  Inthispaper,unlessspecified ,allthefunctionsarenonconstantmeromorphicfunctions.WeshallusethestandardnotatiosofNevanlinnatheoryofmeromorphicfunctionssuchasT(r,f) ,m(r ,f) ,N(r ,f) , N(r,f) ,… .SetE(r ,f) =∪α∈S{z|f(z) -a},whereaze ropointwithmultiplicitymiscountedmtimesintheset.AsetSsuchthatforanytwonon constantentirefunctionsf(z)andg(z)theconditionE(S ,f) =E(S ,g)impliesf≡ giscalledauniquerangesetsofentirefunctions.In 1 976,GROSSF [1 ]askedthefollowingquesti…

关 键 词:亚纯函数  唯一性  整函数  公因数

Unique of Meromorphic Functions
XIONGWe-ling. Unique of Meromorphic Functions[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 395-399
Authors:XIONGWe-ling
Affiliation:DepartmentofInformationandComputingSciences,GuangliInstituteofTechnology,Liuzhou545006,China
Abstract:
In this paper the Gross uniqueness question is studied, and the unique range sets of two classed entire functions are obtained.
Keywords:meromorphic function  entire function  unique range set
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