【摘要】 对于单位圆盘上的系数函数是解析函数的n阶复线性微分方程,关于系数函数和解函数之间的关系的研究是复微分方程领域重要的研究方向。在这篇文章中以新引入的解析函数空间为对象重点研究当这个n阶复线性微分方程的所有解函数都属于给定的解析函数空间时这个复线性微分方程的系数函数的增长级情况。更多还原

【Abstract】 For the n-order complex linear differential equations with analytic coefficient functions in the unit disk, the research into the relationships between the solution functions and coefficient functions is an important study direction in the domain of complex linear differential equations. In this paper, the new introduced analytic function spaces will be study subjects, and the growth of the coefficient functions of the complex linear differential equations will be given as all the solution functions belong to the given analytic spaces.更多还原