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

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.

References in corpus (1)

• Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit

Cited by in corpus (1)

• Raising type twisted Pieri formulas for Jack polynomials and their applications to interpolation Jack polynomials