  Wishart ensembles of random matrix theory have been useful in modeling
positive definite matrices encountered in classical and quantum chaotic
systems. We consider nonzero means for the entries of the constituting matrix A
which defines the correlated Wishart matrix as W = AA{\dag}, and refer to the
ensemble of such Wishart matrices as the non-central correlated Wishart
ensemble (nc-CWE). We derive the Pastur self-consistent equation which
describes the spectral density of nc-CWE at large matrix dimension.
