Application of Probabilistic Method on Daehee Sequences

Chang Liu, Wuyungaowa Bao

Abstract

In this paper, we investigate some combinatorial sequences based on Daehee and Changhee numbers and polynomials, then derive their moment representations in use of probabilistic method. We also provide identities related to Daehee numbers, derangement numbers, Cauchy numbers of the second kind, and Stirling numbers of the first kind.

Keywords

Moment, Probabilistic method, Generating function, Daehee numbers, Changhee numbers

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