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

Nizar Demni

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arXiv · 1706.02503

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

Nizar Demni

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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.

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Nizar Demni. 2017-06-08. Reciprocal of the First hitting time of the boundary of dihedral wedges by a radial Dunkl process. https://arxiv.org/abs/1706.02503

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