  An algorithm is proposed for the determination of the asymptotics of a sum of
a perturbation series from the given values of its coefficients in the
strong-coupling limit. When applied to the \Phi^4 theory, the algorithm yields
the \beta(g)\propto g^\alpha behavior with \alpha\approx 1 at large g for the
Gell-Mann - Low function.

High Energy Physics - Phenomenology;Condensed Matter;High Energy Physics - Theory