论文标题

新的Pieri类型公式用于插孔多项式及其在插值插孔多项式上的应用

New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials

论文作者

Shibukawa, Genki

论文摘要

我们为插孔多项式提供新的Pieri型公式。作为一种应用,我们为最初由Knop和Sahi发现的插值插孔多项式提供了更高级别差方程的新推导。我们还提出了用于插值的Pieri公式,用于插孔多项式的内核函数的插孔多项式。

We present new Pieri type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for interpolation Jack polynomials and intertwining relations for a kernel function for Jack polynomials.

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