Abstract
The search of an adequate approximation method is important in theoretical physics, if people have to compare complicated formulas, derived from general physical theories, with reality. It becomes a necessity whenever the exact mathematical solution is missing and the only information available is fragmentary and consists, for instance, of a formal series expansion in a suitable parameter. This situation exists in field theory and the Pade approximants (P.A.) have been proposed long ago (l) as a convenient mathematical tool one can use to derive quantitative results from perturbation theory, particularly in the case of strongcoupling. More specifically we are thinking of those realistic field theoretical models which are renormalizable and allow a power series in the renormalized coupling constant.
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