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Frank, G. and Hellerstein, S. (1986) On the meromorphic solution of non-homogeneous linear differential equations with polynomial coefficients. Proceedings London Mathematical Society, 53, 407-428.

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• 标题: 线性微分方程亚纯解的零点和增长级的定量估计 Quantitative Estimations on Zeros and Growths of Meromorphic Solutions of Linear Differential Equations

  作者: 黄惠, 陈宗煊

  关键字: 线性微分方程, 亚纯函数, 超级, 二级收敛指数Linear Differential Equation, Meromorphic Functions, Hyper-Order, Hyper-Exponent of Convergence

  期刊名称: 《Pure Mathematics》, Vol.4 No.3, 2014-05-26

  摘要: 本文研究了高阶齐次和非齐次线性微分方程无穷极亚纯解的增长性问题，使方程的零点和增长性得到了精确估计。 In this paper, we investigate the growth of linear order meromorphic solution of higher order homogeneous and no-homogeneous linear differential equation, and we obtain some precise estimates for their zeros and hyper-orders.