  We calculate the $k$-point generating function of the correlated Jacobi
ensemble using supersymmetric methods. We use the result for complex matrices
for $k=1$ to derive a closed-form expression for eigenvalue density. For real
matrices we obtain the density in terms of a twofold integral that we evaluate
numerically. For both expressions we find agreement when comparing with Monte
Carlo simulations. Relations between these quantities for the Jacobi and the
Cauchy-Lorentz ensemble are derived.
