Non-singlet $Q^2$-evolution and the analytic approach to QCD

Gomel State Technical University , Belarus

The results of QCD analysis of a set of a `fake' data on the $\Delta q_3(x,Q^2)$, $\Delta q_8(x,Q^2)$ and $D^{\pi^{+}}_{u_v}(z,Q^2)$ based on the analytic approach called the analytic perturbation theory (APT) are presented. The `fake' data were constructed based on parametrization of polarized PDFand nonsinglet combination of the pion fragmentation functions.