Analytic continuation of the harmonic sums for the 3-loop anomalous dimensions

We present for numerical use the analytic continuations to complex arguments of those basic Mellin transforms, which build the harmonic sums contributing to the 3-loop anomalous dimensions. Eight new basic functions contribute in addition to the analytic continuations for the 2-loop massless Wilson coefficients calculated previously. The representations derived have a relative accuracy of better than 10(-7) in the range x epsilon [10(-6), 0.98]. (c) 2005 Elsevier B.V. All rights reserved.