利用格林函数计算无穷级数的一个实例

同一格林函数,往往可同时用函数形式和级数形式表示。本文从一个简单的微分方程出发,求出其格林函数的上述二种美示形式,并利用它们计算出无穷级数sum from n=1 to ∞(1/n^2)和sum from n=0 to ∞(1/(2n+1)~2)的值。

Since Green's function can be expressed by either the functional form or the form of series, the value of infinite series can be obtained when a variable is made epual to a particular vaule.