We report on the status of the calculation of deep-inelastic structure functions at three loops in perturbative QCD. The method employed allows to calculate the Mellin moments of structure functions analytically as a general function of N. As an illustration, we present the leading fermionic contributions to the non-singlet anomalous dimension of F₂ at three loops and, as a new result, to the non-singlet coefficient function of F₂ at three loops.

PACS numbers: 12.38.Bx, 12.38.Cy, 13.60.Hb