多项式系数的齐次微分方程解的级与零点
The Order and Zeros of the Solutions of the Differential Equation with Polynomial Coefficients
摘要: 本文研究的是齐次线性微分方程f(k)+Ak-1f(X-1)+...+A0f=0的解的性质，其中系数Aj 是多项式，As 起控制作用，在满足某些条件的情况下，我们得到了：该方程的若干个线性无关解的级与零点收敛指数跟As 有紧密联系。
Abstract: This paper investigates the properties of solutions to a linear differential equation f(k)+Ak-1f(X-1)+...+A0f=0 , whose coefficients Aj are polynomial. If As plays a main role and satisfy some particular conditions, we draw a conclusion that As make a compact connection with the solutions of this equation.
文章引用：丁培雄, 陈宗煊. 多项式系数的齐次微分方程解的级与零点[J]. 理论数学, 2011, 1(3): 214-223. http://dx.doi.org/10.12677/pm.2011.13041

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