Multiplicity distributions of quark and gluon jets in QCD

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The solution of the equations for the generating functions of multiplicity distributions of quark and gluon jets in higher order 3NLO perturbative QCD is obtained. The non-perturbative effects are discussed as well. The results are compared to recent experimental data on mean multiplicities, their ratio and its slope, higher moments of the distributions.
6 pages, LATEX, no Figs; talk given at 4th Rencontres du Vietnam

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