Identities involving degenerate stirling numbers of the second kind

Building on Carlitz’s foundational work with degenerate Euler and Bernoulli polynomials, recent research has introduced and studied various degenerate special numbers and polynomials. This paper focuses on exploring degenerate Stirling numbers of the second kind. Specifically, we investigate properties, identities, recurrence relations, and explicit expressions related to these numbers. We derive several expressions for a degenerate version of sums of powers of consecutive integers and the sums related to them.