| "有关代数微分方程的Gackstatter和Laine的猜测"的补充 |
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| 引用本文： | 高凌云."有关代数微分方程的Gackstatter和Laine的猜测"的补充[J].数学季刊,2003,18(3):230-233. |
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| 作者姓名： | 高凌云 |
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| 作者单位： | Department of Mathematics，Jinan University，Guangzhou 510632，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina( 199710 52 ) |
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| 摘 要： | § 1. Introduction InthispaperwewillconsidertheproblemoftheformofalgebraicdifferentialequationwithadmissiblemeromorphicsolutionΩ1 (z ,w) /Ω2 (z ,w) ] m =∑nj=0aj(z)wj,(1 )whereΩ1 (z,w) =∑(i)a(i) (z)wi0 (w′) i1… (w(n) ) in,Ω2 (z,w) =∑( j)b( j) (z)wj0 (w′) j1… (w(n) ) jn,(i) ,(j)arefiniteindexsets,{ai(z) } ,{a(i) (z) }and {a(i) (z) }aremeromorphicfunctions,T(r,a(i) ) =o(T(r,w) ) ,T(r,ai) =o(T(r ,w) ) ,T(r,b(j) ) =o(T(r ,w) ) .Letw(z)beameromorphicsolutionof (1 ) .Ifw(z)satisfies…
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| 关 键 词： | 代数微分方程 亚纯解 复微分方程 极点 值分布 |
Supplement to "on the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations" |
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| GAO Ling-yun.Supplement to "on the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations"[J].Chinese Quarterly Journal of Mathematics,2003,18(3):230-233. |
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| Authors: | GAO Ling-yun |
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| Institution: | DepartmentofMathematics,JinanUnizersity,Guangzhou510632,China |
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| Abstract: | This paper investigates the form of complex algebraic differential equation with admissible meromorphic solutions and obtains two results which are more precise thatn that of the paper 2]. |
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| Keywords: | meromorphic solution complex differential equations the value distribution |
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