Some identities related to degenerate Stirling numbers of the second kind

Abstract

The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and polynomials. The aim of this article is to further study some identities and properties related to the degenerate Stirling numbers of the second kind, in connection with the degenerate Bell polynomials, the degenerate Fubini polynomials, the degenerate Bernoulli polynomials, and the degenerate Euler polynomials.

Keywords

• degenerate stirling numbers of the second kind
• degenerate fubini polynomials
• degenerate bell polynomials
• 11b68
• 11b73
• 11b83