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In this paper, we derive an integral representation for the density of thereciprocal of the first hitting time of the boundary of a wedge of angle$\pi/4$ by a radial Dunkl process with equal multiplicity values. Not only thisrepresentation readily yields the non negativity of the density, but alsoprovides an analogue of Dufresne's result on the distribution of the firsthitting time of zero by a Bessel process and a generalization of theVakeroudis-Yor's identity satisfied by the first exit time from a wedge by aplanar Brownian motion. We also use a result due to Spitzer on the angular partof the planar Brownian motion to prove a representation of the taildistribution of its first exit time from a dihedral wedge through the squarewave function.

First hitting time of the boundary of a wedge of angle $\pi/4$ by a radial Dunkl process