On a q-analogue degenerate Carlitz's type Daehee polynomials and numbers

Abstract

Studies on degenerate versions of Stirling, Bernoulli and Eulerian numbers started by [L. Carlitz, Utilitas Math., 15 (1979), 51-88]. In recent years, many mathematicians have studied degenerate version of various special polynomials and numbers. In this paper, we introduce the q-analogue degenerate Carlitz's type Daehee and higher-order degenerate Carlitz's type Daehee polynomials and numbers. Also, we study some explicit identities and properties for the q-analogue degenerate Carlitz's type Daehee polynomials and numbers and higher-order q-analogue degenerate Carlitz's type Daehee polynomials and numbers arising from p-adic invariant q-integral on Z(p).