论文标题
提高式多项式的扭曲类型的扭曲的pieri公式及其在插值插孔多项式上的应用
Raising type twisted Pieri formulas for Jack polynomials and their applications to interpolation Jack polynomials
论文作者
论文摘要
我们为杰克多项式提出了新的Pieri类型公式，这是另一种比上一篇论文（G. Shibukawa，Arxiv：2004.12875）的Pieri类型公式。从这些新的Pieri型公式中，我们提供了另一个差异和插值插孔多项式的差异证明。此外，我们还将下降类型的扭曲的Pieri公式推广到包括Jack和多元Bernoulli多项式在内的二项式多项式。
We propose new Pieri type formulas for Jack polynomials, which is another kind of Pieri type formulas than the ones in the previous paper (G. Shibukawa, arXiv:2004.12875). From these new Pieri type formulas, we give yet another proof of difference and Pieri formulas for interpolation Jack polynomials. Further, we also generalize a falling type twisted Pieri formula to the binomial type polynomials including Jack and multivariate Bernoulli polynomials.
