  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.
