模形式满足的线性常微分方程

摘要

The linear ordinary differential equations satisfed by modular forms is constructed,and the corresponding explicit formulas is obtained.In the end an effcient algorithm is given to calculate the linear ordinary differential equations satisfied by a given modular forms.%构造出模形式满足的线性常微分方程,得到相应的显式公式,并给出了一个计算满足模形式的线性常微分方程的有效算法.