一类高阶线性微分方程亚纯解与小函数的关系

Relation between Meromorphic Solutions of a Class of Higher Order Linear Differential Equations and Functions of Small Growth

摘要: 本文研究了一类亚纯函数系数高阶齐次和非齐次线性微分方程的亚纯解的增长性，并进一步研究了它们的亚纯解与小函数的关系。其中某一个系数具有有限亏值或满足一定条件，其余系数也满足相应的条件。

Abstract: In this paper, we consider the growth of the meromorphic solutions of a class of higher order homogeneous and non-homogeneous linear differential equations with meromorphic coefficients, and further consider the relation between their meromorphic solutions and functions of small growth, where one of these coefficients has a finite deficient value or satisfies some conditions, others satisfy corresponding conditions.