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
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。
Abstract:
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.
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