As an alternative to the loop expansion of the effective potential, wesuggest a functional expansion of the generating functional for an/ital n/-point Euclidean Green's function. The formulation of the scheme isindependent of the space-time dimension of the model. The scheme yieldsstandard perturbation theory in the regime of a small coupling constant andallows to extract information on the regime of strong coupling. As an explicitexample we consider the scalar /Phi//sup 4/ model and computecontributions up to the four-loop level.