  It is remarkable that, in recent years, intensive studies have been done for
degenerate versions of many special polynomials and numbers and have yielded
many interesting results. The aim of this paper is to study the generalized
degenerate (r, s)-Stirling numbers of the second and their natural extensions
to polynomials, namely the generalized degenerate (r, s)-Bell polynomials,
arising from certain degenerate boson normal ordering. We derive some
properties, explicit expressions and generating functions for those numbers and
polynomials. The generalized degenerate (r, s)-Stirling numbers of the second
and the degenerate boson normal ordering are respectively degenerate versions
of the generalized (r, s)-Stirling numbers of the second and the boson normal
ordering studied earlier by Blasiak-Person-Solomon.
