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Dunkl intertwining operator for symmetric groups
Published 4 Sep 2020 in math.CA | (2009.02087v2)
Abstract: In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type $A_{n-1}$ by the Humbert's function $\Phi_{2}{(n)}$, 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].
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