Beukers型多重积分的概率表示及应用  

Probabilistic Representations and Applications of Multiple Integrals of Beukers’s Type

作　　者：常桂松[1] 徐晨 

机构地区：[1]东北大学数学系,辽宁 沈阳

出　　处：《应用数学进展》2022年第5期2436-2440,共5页Advances in Applied Mathematics

摘　　要：本文提出一种简单的变换公式将Beukers型多重积分转化为定积分。利用(0, 1)区间上均匀分布的乘积的函数的数学期望,提出了Beukers型多重积分的概率表示。基于这种概率表示,给出一些Beukers型多重积分的结论。In this paper, a simple transformation formula is derived, allowing multiple integrals of Beukers’s type to be reduced. The probabilistic representation of multiple integrals of Beukers’s type is in-troduced by the expectation of product of uniform random variables on (0, 1). Based on the proba-bilistic representation, some conclusions are given for multiple integrals of Beukers’s type.

关 键 词：Beukers型多重积分 均匀分布 期望 

分 类 号：O175[理学—数学]