Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector-Valued Polynomials and a Matrix Weight Function with
  $B_2$-Action. II   This is a sequel to [SIGMA 9 (2013), 007, 23 pages, arXiv:1210.1177], in
which there is a construction of a $2\times2$ positive-definite matrix function
$K (x)$ on $\mathbb{R}^{2}$. The entries of $K(x)$ are expressed in terms of
hypergeometric functions. This matrix is used in the formula for a Gaussian
inner product related to the standard module of the rational Cherednik algebra
for the group $W(B_2)$ (symmetry group of the square) associated to the
(2-dimensional) reflection representation. The algebra has two parameters:
$k_{0}$, $k_{1}$. In the previous paper $K$ is determined up to a scalar,
namely, the normalization constant. The conjecture stated there is proven in
this note. An asymptotic formula for a sum of $_{3}F_{2}$-type is derived and
used for the proof.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol