关于Fuchs定理的一个附注

关于Fuchs定理的一个附注 A NOTE ON THE THEOREM OF FUCHS 萧修治 Xiao Xiuzhi first-author 对带有多项式系数的线性微分方程,在奇点的邻域内,本文求得正则特解的一个上界,从而在一定意义下精确了Fuchs定理。 We obtain Theory. If the coefficients of linear differential equation（1） are polynomials, a+p（z） （O≤p≤n-1） is first ceefficients which degree is the biggest in {a n （z）} （according to the order of a 1 （z）, a 1 （z）, …, a n （z））. Then （1）has at most p regular solutions which are linear independent in the neighborhood of z=∞. 线性微分方程 线性无关 正则奇点 正则解 非正则奇点 非正则解 linear differential equation linear indepence regular singular point regular solution irregular singular point irregular solution 1987-01-01 2021-04-01 1