  QCD equations for generating functionals are solved at coinciding momenta of
particles. As a result, the relations for $q$-particle correlation functions at
equal momenta are obtained. They are directly connected to previously derived
results about the factorial and cumulant moments of multiplicity distributions.
It is predicted that the correlations at coinciding points decrease, first, as
a function of the rank $q$, and then start oscillating when represented in a
form of the ratio of cumulant to factorial correlations. In particular, the
cumulant function of the fifth rank should become negative at the origin. Some
experimental data are discussed.
