| 具有公共值集和亏值的亚纯函数唯一性 |
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| 引用本文： | 吕巍然,王珺. 具有公共值集和亏值的亚纯函数唯一性[J]. 数学季刊, 2003, 18(1): 13-16 |
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| 作者姓名： | 吕巍然 王珺 |
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| 作者单位： | 1.Department of Mathematics，University of Petroleum，Dongying 257061，China; 2.Department of Mathematics，Shandong University，Jinan 250100，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(198710 50 )，SupportedbytheNationalNaturalScienceFoundationofChinaDoctoralProgrammeFoundationofHigherEducation(980 4 2 2 0 9) |
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| 摘 要： | § 1 . IntroductionandtheMainResult Inthispaper,weshallusethestandardnotationsofvaluesdistributiontheory(see [1]) .LetfbeameromorphicfunctionandSbeasetofdistinctelements.SetEf(S) =∪a∈S{z:f =a ,countingmultiplicities} .Recently,manygoodresultswereobtained(see [1— 4]) ,whichansweredthequestionofGross(see [5 ]) .TheoremA(see [3]) LetS1 ={ 0 } ,S2 ={z :z2 (z+a) -b =0 } ,wherea,baretwononzeroconstantssuchthatthealgebraicequationz2 (z+a) -b=0hasnomultipleroots.Iff ,garetwoentirefunctio…
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| 关 键 词： | 唯一性 亚纯函数 公共值域集 亏值 值分布定理 分配集 整函数 |
The Uniqueness of Meromorphic Functions with Common Range Sets and Deficient Values |
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| LU Wei-ran,WANG Jun. The Uniqueness of Meromorphic Functions with Common Range Sets and Deficient Values[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 13-16 |
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| Authors: | LU Wei-ran WANG Jun |
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| Affiliation: | [1]DepartmentofMathematics,UniversityofPetoleum,Dongying257061,China [2]DepartmentofMathematics,ShandongUniversity,Jinan250100,China |
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| Abstract: | In this paper,the uniqueness of meromorphic functions with common range sets and deficient values are studied.This result is related to a question of Gross. |
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| Keywords: | meromorphic function uniqueness sharing sets |
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