Year: 2025
Type: article
Abstract: 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.
Source: AIMS Mathematics
DOI: 10.3934/math.2025556
Authors: Sang Jo Yun, Jin-Woo Park
Institutions: Dong-A University, Daegu University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
Funder: Daegu University
OpenAlex ID: W4410767294