Shifted Jack polynomials, binomial formula, and applications

Abstract

In this note we prove an explicit binomial formula for Jack polynomials and discuss some applications of it.

AMS TeX, 8 pages. Replaced with the journal version

References in corpus (3)

• Shifted Schur Functions
• Symmetric and non-symmetric quantum Capelli polynomials
• Binomial formula for Macdonald polynomials

Cited by in corpus (8)

• Matrix Models for Beta Ensembles
• The Beta-Wishart Ensemble
• Structure coefficients of the Hecke algebra of $(S_{2n},B_n)$
• The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
• Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators
• The top-degree part in the Matchings-Jack Conjecture
• Combinatorics and invariant differential operators on multiplicity free spaces
• Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials