有理函数在极点邻域内的罗朗展开式的一个应用

An Application for the Laurent Development of Rational Functions at the Neighborhood of a Pole

在数学学习中经常要将有理函数分解成部分分式之和。笔者在此指出了罗朗级数的系数与有理函数分解的部分分式之和的系数之间的关系 ,并举出应用实例。

It is widely used to decompose a rational function into the sum of partial fractions.This paper points out the relationship between the coefficient of Laurent series and that of the sum of partial fractions for rational functions.Some typical examples are presented in illustration.