  We solve for finite $N$ the matrix model of supersymmetric $U(N)$
Chern-Simons theory coupled to $N_{f}$ fundamental and $N_{f}$ anti-fundamental
chiral multiplets of $R$-charge $1/2$ and of mass $m$, by identifying it with
an average of inverse characteristic polynomials in a Stieltjes-Wigert
ensemble. This requires the computation of the Cauchy transform of the
Stieltjes-Wigert polynomials, which we carry out, finding a relationship with
Mordell integrals, and hence with previous analytical results on the matrix
model. The semiclassical limit of the model is expressed, for arbitrary
$N_{f},$ in terms of a single Hermite polynomial. This result also holds for
more general matter content, involving matrix models with double-sine
functions.
