  We describe Generalized Hermitian matrices ensemble sometimes called Chiral
ensemble. We give global asymptotic of the density of eigenvalues or the
statistical density. We will calculate a Laplace transform of such a density
for finite $n$, which will be expressed through an hypergeometric function.
When the dimensional of the hermitian matrix begin large enough, we will prove
that the statistical density of eigenvalues converge in the tight topology to
some probability measure, which generalize the Wigner semi-circle law.
