Some Combinatorial Identities about Daehee Sequences

Ya-Nan Luo1, Wuyungaowa .1
1 Department of Mathematics College of Sciences and Technology Inner Mongolia University Huhhot 010021, P. R. China

Abstract

In this paper, we investigate and obtain the properties of higher-order Daehee sequences by using generating functions. In particular, by means of the method of coefficients and generating functions, we establish some identities involving higher-order Daehee numbers, generalized Cauchy numbers, Lah numbers, Stirling numbers of the first kind, unsigned Stirling numbers of the first kind, generalized harmonic polynomials and the numbers \( P(r, n, k) \).

Keywords: Higher-order Daehee numbers; Generating functions; Generalized Cauchy numbers; Lah numbers; Stirling numbers of the first kind; Generalized Harmonic polynomials.