Applications of Probabilistic Methods on Some Stirling Sequences

Xin Wang; Wuyungaowa .

Xin Wang School of Mathematical Sciences, Inner Mongolia University, Hohhot, China
Wuyungaowa . School of Mathematical Sciences, Inner Mongolia University, Hohhot, China

Keywords: Moment; Probabilistic method; Generating function; Generalized Stirling numbers; λ-analogues of r-Stirling numbers of the first kind

Abstract

In this paper, we investigate some combinatorial sequences based on the generalized Stirling numbers and the λ-analogues of r-Stirling numbers of the first kind, then derive their moment representations in use of probabilistic methods. We also provide identities related to r-Stirling numbers of the first kind, Stirling numbers and Daehee numbers.

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References

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