mathbb{N}\)</span>, <span class="math inline">\(\nu \in \mathbb{R}^+\)</span>, <span class="math inline">\(\mu \in \mathbb{R}^K\)</span>,
and <span class="math inline">\(\Sigma \in \mathbb{R}^{K \times K}\)</span> is symmetric and positive
definite, then for <span class="math inline">\(y \in \mathbb{R}^K\)</span>, <span class="math display">\[ \begin{array}{l}
\text{MultiStudentT}(y\,|\,\nu,\,\mu,\,\Sigma) \\  =
\frac{1}{\pi^{K/2}} \ \frac{1}{\nu^{K/2}} \ \frac{\Gamma\!\left((\nu +
K)/2\right)}      {\Gamma