Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A recursion and a combinatorial formula for Jack polynomials   Heckman and Opdam introduced a non-symmetric analogue of Jack polynomials
using Cherednik operators. In this paper, we derive a simple recursion formula
for these polynomials and formulas relating the symmetric Jack polynomials with
the non-symmetric ones. These formulas are then implemented by a closed
expression of symmetric and non-symmetric Jack polynomials in terms of certain
tableaux. The main application is a proof of a conjecture of Macdonald stating
certain integrality and positivity properties of Jack polynomials.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th