Some results on degenerate Daehee and Bernoulli numbers and polynomials

Abstract

Abstract In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were actually called the degenerate Daehee polynomials and numbers of the third kind and recently introduced by Jang et al. (J. Comput. Appl. Math. 364:112343, 2020). We derive their explicit expressions and some identities involving them. Further, we introduce the multiple degenerate Daehee numbers and higher-order degenerate Daehee polynomials and numbers which can be represented in terms of integrals on the unitcube. Again, we deduce their explicit expressions and some identities related to them.

Keywords

• Degenerate Daehee polynomials and numbers
• Multiple degenerate Daehee numbers
• Higher-order degenerate Daehee polynomials and numbers