SOME IDENTITIES INVOLVING SPECIAL NUMBERS AND MOMENTS OF RANDOM VARIABLES

被引：0
|
作者：
Kim, Taekyun [1 ]
Yao, Yonghong [2 ,3 ]
Kim, Dae San [4 ]
Kwon, Hyuck-In [1 ]
机构：
[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China
[3] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
[4] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 02期
关键词：
Random variable; moment; Stirling number; degenerate Stirling number; derangement number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive some identities involving special numbers and moments of random variables by using the generating functions of the moments of certain random variables. Here, the related special numbers are Stirling numbers of the first and second kinds, degenerate Stirling numbers of the first and second kinds, derangement numbers, higher-order Bernoulli numbers and Bernoulli numbers of the second kind.
引用
收藏
页码：521 / 538
页数：18
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