2007系统科学与复杂性:英文版Requires access

ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Benharrat, Belaidi

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Abstract

在这份报纸,我们调查 higherorder 的 meromorphic 答案的生长线性微分方程f~((k))+A_( k-1 )(z)e~(P_( k-1 )(z))f~(( k-1 ))+… +A_1 (z)e~( P_1 (z)) f “ +A_0 (z)e~( P_0 (z)) f = 0 ( k ≥ 2 ) P_j (z)( j = 0 , 1 ,…, k - 1 ) arenonconstant 多项式以便 deg P_j = n ( j = 0 , 1 ,…, k - 1 )并且 A_j (z)(不≡ 0 )( j = 0 , 1 ,…, k - 1 )是有顺序ρ( A_j 的 meromorphic 功能)> n ( j = 0 , 1 ,…, k - 1 )。

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What this paper is about

在这份报纸,我们调查 higherorder 的 meromorphic 答案的生长线性微分方程f~((k))+A_( k-1 )(z)e~(P_( k-1 )(z))f~(( k-1 ))+… +A_1 (z)e~( P_1 (z)) f “ +A_0 (z)e~( P_0 (z)) f = 0 ( k ≥ 2 ) P_j (z)( j = 0 , 1 ,…, k - 1 ) arenonconstant 多项式以便 deg P_j = n ( j = 0 , 1 ,…, k - 1 )并且 A_j (z)(不≡ 0 )( j = 0 , 1 ,…, k - 1 )是有顺序ρ( A_j 的 meromorphic 功能)> n ( j = 0 , 1 ,…, k - 1 )。

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Available abstract

在这份报纸,我们调查 higherorder 的 meromorphic 答案的生长线性微分方程f~((k))+A_( k-1 )(z)e~(P_( k-1 )(z))f~(( k-1 ))+… +A_1 (z)e~( P_1 (z)) f “ +A_0 (z)e~( P_0 (z)) f = 0 ( k ≥ 2 ) P_j (z)( j = 0 , 1 ,…, k - 1 ) arenonconstant 多项式以便 deg P_j = n ( j = 0 , 1 ,…, k - 1 )并且 A_j (z)(不≡ 0 )( j = 0 , 1 ,…, k - 1 )是有顺序ρ( A_j 的 meromorphic 功能)> n ( j = 0 , 1 ,…, k - 1 )。

Key concepts: Meromorphic function, Mathematics, Combinatorics, Mathematical analysis

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