  In this paper, we establish an integral representation for the density of the
reciprocal of the first hitting time of the boundary of even dihedral wedges by
a radial Dunkl process having equal multiplicity values. Doing so provides
another proof and extends to all even dihedral groups the main result proved in
\cite{Demni1}. We also express the weighted Laplace transform of this density
through the fourth Lauricella Lauricella function and establish a similar
integral representation for odd dihedral wedges.
