Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Jacobi and Laguerre polynomials, infinite-dimensional
  extensions, and their probabilistic connections with multivariate Hahn and
  Meixner polynomials   Multivariate versions of classical orthogonal polynomials such as Jacobi,
Hahn, Laguerre and Meixner are reviewed and their connection explored by
adopting a probabilistic approach. Hahn and Meixner polynomials are interpreted
as posterior mixtures of Jacobi and Laguerre polynomials, respectively. By
using known properties of gamma point processes and related transformations, a
new infinite-dimensional version of Jacobi polynomials is constructed with
respect to the size-biased version of the Poisson--Dirichlet weight measure and
to the law of the gamma point process from which it is derived.

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess