作　　者： ;

机构地区： 江西师范大学数学系

出　　处： 《江西师范大学学报（自然科学版）》 1999年第4期283-288,293,共7页

摘　　要： 研究了慢增长亚纯系数齐次线性微分方程亚纯解的零点收敛指数,得到了这类方程具有零点收敛指数为有穷的线性无关的超越解的最大个数。 In this paper,we investigate the exponents of convergence of the zero sequence of meromorphic solutions of homogeneous linear differential equations with meromorphic coefficients of small growth,and obtain that this type of equations are of maximum number of linear independent transcendental solutions that its exponents of convergence of the zero sequence are finite,and that this type of equations are of minimun number of solutions that its exponents of convergence of the zero sequence are infinite in a fundamental solution set.

关 键 词： 微分方程 零点收敛指数 解 亚纯解 慢增长系数

领　　域： [理学] [理学] [理学] [理学]