  We prove the existence and study properties of the Green function of the unit
ball for the Dunkl Laplacian $\Delta_k$ in $\mathbb{R}^d$. As applications we
derive the Poisson-Jensen formula for $\Delta_k$-subharmonic functions and
Hardy-Stein identities for the Poisson integrals of $\Delta_k$. We also obtain
sharp estimates of the Newton potential kernel, Green function and Poisson
kernel in the rank one case in $\mathbb{R}^d$. These estimates contrast sharply
with the well-known results in the potential theory of the classical Laplacian.
