English

Some identities involving special numbers and moments of random variables

Number Theory 2018-02-06 v1

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.

Keywords

Cite

@article{arxiv.1802.01244,
  title  = {Some identities involving special numbers and moments of random variables},
  author = {Taekyun Kim and Yonghong Yao and Dae San Kim and Hyuck-In Kwon},
  journal= {arXiv preprint arXiv:1802.01244},
  year   = {2018}
}

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16 pages