用径向Dunkl过程计算二面角楔边界首中时的倒数
Reciprocal of the First hitting time of the boundary of dihedral wedges by a radial Dunkl process
摘要:
本文用等重数的径向Dunkl过程建立了偶二面体楔边界的首中时的倒数的密度的整表示。这样做提供了另一个证明,并扩展到所有甚至二面体群的主要结果证明在\cite{Demni1}。我们还表示通过第四Lauricella Lauricella功能,并建立一个类似的整表示奇数二面角楔密度的加权拉普拉斯变换。
英文摘要:
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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