袁文俊, 邹秀林. 关于线性微分方程亚纯解的增长性和零点分布[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1996, (1).DOI:
关于线性微分方程亚纯解的增长性和零点分布
摘要
本文主要得到具亚纯系数线性微分方程亚纯解的级为无穷的某些充分条件及亚纯解零点分布的若干结果.
Abstract
n this paper
the linear differential equation ak(z)w(k)+ak-1(z)w(k-1)+…+a0(z)w=0 with meromorphic coefficients is studied. Some conditions on the coefficients were given to ensure that all the meromorphic solutions have infinite growth order. And several results on the distribution of zeros of solutions have been obtained.