参考文献对普通级数的求和,喜欢用Laguerre—Gauss法求积分,以便快速、准确的算出普朗克函数的积分值。但是以exp(-x)幂展开的普通级数的唯一缺点就是,对于小x,它不能很快收敛。对于小x,利用以x幂展开的快速收敛展开式,便很容易解决这个问题。对于相应的项数,这两种级数的组合提供的解,比Laguerre—Gauss法的积分解要来得精确、快速、简便。本文概述了采用这种方法,达到任意精度时所需的表达式。当级数舍 Reference summation of ordinary series, like using Laguerre-Gauss method integral, in order to quickly and accurately calculate the integral value of Planck function. But the only drawback to the normal progression expanded by exp (-x) is that for small x it does not converge very quickly. For small x, this problem is easily solved by using the fast convergence expansion expanded by x. For the corresponding number of terms, the solution provided by the combination of these two series is more accurate, faster and easier than the integral solution of the Laguerre-Gauss method. This article provides an overview of the expressions that are required to achieve arbitrary accuracy using this method. When the number of homes