一种求和方法

A kind of summation method

针对一类求和问题,提出一种新的方法:先将单和转化为二重和,再交换求和顺序,进而得到和式的封闭形式.通过几个典型实例说明此方法的优势.

Proposed a kind of new method to evaluate a class of summation problem. The method first rewrite the single sum as a double sum, then interchange the order of summation, and further obtain the closed form of the sum. Shown the advantages of our method by a few of typical examples.