论文标题
dunkl交织的对称组的操作员
Dunkl intertwining operator for symmetric groups
论文作者
论文摘要
在本说明中,我们通过humbert的函数$φ__{2}^{(n)} $明确表达dunkl内核和类型$ a_ {n-1} $类型的bessel函数,并指定了一个变量。获得的公式导致了XU与对称组相关的相互构图的XU积分表达式的新证明,这最近在[21]中报道了。
In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type $A_{n-1}$ by the Humbert's function $Φ_{2}^{(n)}$, with one variable specified. The obtained formulas lead to a new proof of Xu's integral expression for the intertwining operator associated to symmetric groups, which was recently reported in [21].