Gell-Mann - Low Function in the Phi^4 Theory
  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. 
I. M. Suslov (P.L.Kapitza Institute for Physical Problems, Russia)