  This paper is the continuation of the study on discrete harmonic analysis
related to Jacobi expansions initiated in [1]. Considering the operator
$\mathcal{J}^{(\alpha,\beta)}=J^{(\alpha,\beta)}-I$, where $J^{(\alpha,\beta)}$
is the three-term recurrence relation for the normalized Jacobi polynomials and
$I$ is the identity operator, we focus on the study of weighted inequalities
for the Riesz transform associated with it.
