Some new properties on degenerate Bell polynomials

TL;DR

This paper explores the properties of degenerate Bell polynomials and numbers, deriving new identities and linking them to degenerate Stirling numbers, expanding the mathematical understanding of these special functions.

Contribution

It introduces new identities and properties of degenerate Bell polynomials and numbers, connecting them with degenerate Stirling numbers for the first time.

Findings

Derived new identities for degenerate Bell polynomials.

Established connections with degenerate Stirling numbers.

Enhanced understanding of degenerate Bell number properties.

Abstract

The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate version of the Bell numbers and polynomials. we derive some new identities and properties of those numbers and polynomials that are associated with the degenerate Stirling numbers of the both kinds.