Rocky Mountain Journal of Mathematics

Some identities involving special numbers and moments of random variables

Abstract

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.

Article information

Source
Rocky Mountain J. Math., Volume 49, Number 2 (2019), 521-538.

Dates
Revised: 12 September 2018
First available in Project Euclid: 23 June 2019

https://projecteuclid.org/euclid.rmjm/1561318391

Digital Object Identifier
doi:10.1216/RMJ-2019-49-2-521

Mathematical Reviews number (MathSciNet)
MR3973238

Zentralblatt MATH identifier
07079982

Citation

Kim, Taekyun; Yao, Yonghong; Kim, Dae San; Kwon, Hyuck-In. Some identities involving special numbers and moments of random variables. Rocky Mountain J. Math. 49 (2019), no. 2, 521--538. doi:10.1216/RMJ-2019-49-2-521. https://projecteuclid.org/euclid.rmjm/1561318391

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