QCD equations for generating functionals are solved at coinciding mome
nta of particles. The relations between q-particle correlations functi
ons at coinciding momenta are obtained from this solution. These relat
ions are directly connected with earlier results for factorial and cum
ulant moments of multiplicity distributions. Correlations at coincidin
g points are shown to decrease rapidly with increasing rank q; as q gr
ows further, the correlations begin to oscillate. In particular, the c
umulant function of fifth rank is predicted to be negative. The experi
mental data are briefly discussed.