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New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials (2004.12875v4)
Published 27 Apr 2020 in math.CA
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.