On a generation of degenerate Daehee polynomials

Recently, probabilistic versions of certain special polynomials have been introduced, leading to the discovery of many interesting properties of these polynomials by many researchers. In this paper, we define the probabilistic degenerate Daehee polynomials, denoted by $ D_{n, \lambda} ^Y (x) $, and explore their properties along with several notable identities. We demonstrate that $ D_{n, \lambda} ^Y (x) $ and related special numbers can be expressed in terms of (degenerate) Stirling numbers of the first and second kinds, as well as falling factorial sequences.