  Three-particle correlations in quark and gluon jets are computed for the
first time in perturbative QCD. We give results in the double logarithmic
approximation and the modified leading logarithmic approximation. In both
resummation schemes, we use the formalism of the generating functional and
solve the evolution equations analytically from the steepest descent evaluation
of the one-particle distribution. We thus provide a further test of the local
parton hadron duality and make predictions for the LHC.
