public static function PDF($x, int $ν)
{
Support::checkLimits(self::LIMITS, ['x' => $x, 'ν' => $ν]);
$π = \M_PI;
// Numerator
$Γ⟮⟮ν+1⟯∕2⟯ = Special::gamma(($ν + 1) / 2);
$⟮1+x²∕ν⟯ = 1 + $x ** 2 / $ν;
$−⟮ν+1⟯∕2 = -($ν + 1) / 2;
// Denominator
$√⟮νπ⟯ = sqrt($ν * $π);
$Γ⟮ν∕2⟯ = Special::gamma($ν / 2);
return $Γ⟮⟮ν+1⟯∕2⟯ * $⟮1+x²∕ν⟯ ** $−⟮ν+1⟯∕2 / ($√⟮νπ⟯ * $Γ⟮ν∕2⟯);
}