  We study a family of "classical" orthogonal polynomials which satisfy (apart
from a 3-term recurrence relation) an eigenvalue problem with a differential
operator of Dunkl-type. These polynomials can be obtained from the little
$q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomials
provide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.
