  Recently, Kim-Kim introduced the degenerate r-Bell polynomials and
investigated some results which are derived from umbral calculus. The aim of
this paper is to study some properties of the degenerate r-Bell polynomials and
numbers via boson operators. In particular, we obtain two expressions for the
generating function of the degenerate r-Bell polynomials in |z| , and a
recurrence relation and Dobinski-like formula for the degenerate r-Bell
numbers. These are derived from the degenerate normal ordering of a degenerate
integral power of the number operator in terms of boson operators where the
degenerate r-Stirling numbers of the second kind appear as the coefficients.
