Study on r-truncated degenerate Stirling numbers of the second kind

Abstract

The degenerate Stirling numbers of the second kind and of the first kind, which are, respectively, degenerate versions of the Stirling numbers of the second kind and of the first kind, appear frequently when we study various degenerate versions of some special numbers and polynomials. The aim of this article is to consider the r-truncated degenerate Stirling numbers of the second kind, which reduce to the degenerate Stirling numbers of the second for r = 1, and to investigate their explicit expressions, some properties and related identities, in connection with several other degenerate special numbers and polynomials.

Keywords

• r-truncated degenerate stirling numbers of the second kind
• r-truncated degenerate bernoulli polynomials of order alpha
• 11b73
• 11b83