Reciprocal of the First hitting time of the boundary of dihedral wedges by a radial Dunkl process

Abstract

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.

Many typos and misprints are corrected and the exposition is improved. An additional result is also proved

References in corpus (3)

• Littelmann paths and brownian paths
• Skew-product representations of multidimensional Dunkl Markov processes
• First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes

Cited by in corpus (1)

• On a Neumann-type series for modified Bessel functions of the first kind