Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jack polynomials, generalized binomial coefficients and polynomial
  solutions of the generalized Laplace's equation   We discuss the symmetric homogeneous polynomial solutions of the generalized
Laplace's equation which arises in the context of the Calogero-Sutherland model
on a line. The solutions are expressed as linear combinations of Jack
polynomials and the constraints on the coefficients of expansion are derived.
These constraints involve generalized binomial coefficients defined through
Jack polynomials. Generalized binomial coefficients for partitions of $k$ upto
$k=6$ are tabulated.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom