两类多重级数变换为单重级数的公式及其应用  

Several multiple series transformed into single series: two kinds of formulae and their application

作　　者：陈湛本[1] 廖志坚 

机构地区：[1]广州市系统工程研究所,广州师范学院数学系510400 [2]从化第二中学,510920

出　　处：《广州师院学报（自然科学版）》1999年第7期7-11,共5页

摘　　要：本文利用概率二项分布和 Ｐｏｉｓｓｏｎ 分布的可加性， 导出了两个相当一般的化多重求和为单重求和的变换公式， 并运用它们得到了一系列有限与无限多重级数转化为单重级数的有用公式。In this paper, the authors make use of methods in probability theory to derive two more general formulae which transform several multiple summation into single summation and make use of these formulae to obtain a series of useful formulae which transform several multiple finite or infinite series into single series.

关 键 词：Borel可测实函数 二项分布 POISSON分布 可知性 多重级数 单重级数 公式 应用 

分 类 号：O174.51[理学—数学]