Perturbative Part of the Non-Singlet Structure Function F_2 in the Large-N_F Limit

We have calculated $\overline{MS}$ Wilson coefficients and anomalous dimensions for the non-singlet part of the structure function F_2 in the large-N_F limit. Our result agrees with exact two and three loop calculations and gives the leading N_F dependence of the perturbative non-singlet Wilson coefficients to all orders in ${\alpha }_S$.