  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
paper 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.
