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

Taekyun Kim, Dae San Kim, Hyekyung Kim
2022 Open Mathematics  
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
more » ... essions, some properties and related identities, in connection with several other degenerate special numbers and polynomials.
doi:10.1515/math-2022-0535 fatcat:k7hcm5etffaktjyfrpyuuqt5ee