Some higher moments of deep inelastic structure functions at next-to-next-to-leading order of perturbative QCD

We present the analytic next-to-next-to-leading QCD calculation of some hig her moments of deep inelastic structure functions in the leading twist appr oximation. We give results for the moments N = 1, 3, 5, 7, 9, 11, 13 of the structure function F-3. Similarly we present the moments N = 10, 12 for th e flavour singlet and N = 12, 14 for the non-singlet structure functions F- 2 and F-L. We have calculated both the three-loop anomalous dimensions of t he corresponding operators and the three-loop coefficient functions of the moments of these structure functions. (C) 2001 Published by Elsevier Scienc e B.V.