[en] A new information concerning the behaviour of the effective charge at small distances obtained through the progress in multiloop calculations and the method of asymptotic estimated of PT coefficients is considered. The model phisub((4))sup(4) is studied in details. The construction procedure of the Gell-Mann-Low function approximation is proposed based on the synthesis of exact coefficients of lower orders and asymptotic estimates under the integral representation. In the gphisub((4))sup(4) model the G-M-L function behaviour like 0.9g² for g > or approximately 1 is obtained