New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
Classical Analysis and ODEs
2020-11-24 v4
Abstract
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.
Keywords
Cite
@article{arxiv.2004.12875,
title = {New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials},
author = {Genki Shibukawa},
journal= {arXiv preprint arXiv:2004.12875},
year = {2020}
}