Open AccessApplication of Probabilistic Method on Daehee Sequences
Author(s) -
Chang Liu,
Wuyungaowa Bao
Publication year - 2018
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v11i1.3153
Subject(s) - mathematics , stirling numbers of the second kind , stirling numbers of the first kind , stirling number , probabilistic logic , cauchy sequence , moment (physics) , harmonic number , cauchy distribution , probabilistic method , discrete mathematics , combinatorics , algebra over a field , pure mathematics , mathematical analysis , statistics , riemann zeta function , physics , classical mechanics
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.