Abstract

In this paper, we construct the type 2 degenerate Daehee numbers and polynomials of the second kind and their higher-order analogues, and investigate some properties of these numbers and polynomials. In addition, we give some new identities and relations between the type 2 degenerate Daehee polynomials of the second kind and degenerate Bernoulli polynomials of the second kind, an identity involving higher-order analogues of those polynomials and the degenerate Stirling numbers of the second kind, and an expression of higher-order analogues of those polynomials in terms of higher-order type 2 degenerate Bernoulli polynomials and the degenerate Stirling numbers of the first kind.

Keywords and Phrases

Type 2 degenerate Daehee polynomials and numbers, higher-order type 2 degenerate Daehee polynomials and numbers, Stirling numbers, degenerate central factorial numbers.

A.M.S. subject classification

11B68, 11B83, 11B73.

.....