  The aim of this paper is to study some basic properties of the r$-extended
Lah-Bell numbers and polynomials associated with r-Lah numbers and to show the
connection between the r-extended Lah-Bell polynomials and the rising factorial
moments of the Poisson random variable shifted by an even nonnegative integer
2r. Here the nth r-extended Lah-Bell number counts the number of ways a set of
n+r elements can be partitioned into non-empty linearly ordered subsets such
that r distinguished elements have to be in distinct linearly ordered subsets
and the r-extended Lah-Bell polynomials are natural extensions of the
r-extended Lah-Bell numbers.
