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Over the past few years considerable progress has been made on theresummation of double-logarithmically enhanced threshold (large-x) andhigh-energy (small-x) higher-order contributions to the splitting functions forparton and fragmentation distributions and to the coefficient functions forinclusive deep-inelastic scattering and semi-inclusive e^+e^- annihilation. Wepresent an overview of the methods which allow, in many cases, to derive thecoefficients of the highest three logarithms at all orders in the strongcoupling from next-to-next-to-leading order results in massless perturbativeQCD. Some representative analytical and numerical results are shown, and thepresent limitations of these resummations are discussed.

Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes