  We continue the study of the correlation functions for the point stochastic
processes introduced in Part I (G.Olshanski, math.RT/9804086). We find an
integral representation of all the correlation functions and their explicit
expression in terms of multivariate hypergeometric functions. Then we define a
modification (``lifting'') of the processes which results in a substantial
simplification of the structure of the correlation functions. It turns out that
the ``lifted'' correlation functions are given by a determinantal formula
involving a kernel. The latter has the form (A(x)B(y)-B(x)A(y))/(x-y), where A
and B are certain Whittaker functions. Such a form for correlation functions is
well known in the random matrix theory and mathematical physics. Finally, we
get some asymptotic formulas for the correlation functions which are employed
in Part III (A.Borodin and G.Olshanski, math.RT/9804088).
