A transitional regime, as characterized by a point of inflection, links the asymptotic regimes for large and small values of the independent variable in many physical and chemical systems. A new methodology has been devised for representation of the overall behavior including such a transition by a single correlating equation. This development is based on the identification of one exact and one nearly exact solution in closed form for such a transition and on the recognition that these two particular solutions correspond to the same special case of the canonical correlating equation proposed by Churchill and Usagi for multiple regimes. This correspondence previously escaped recognition because it is evident only for one particular arrangement of the closed-form solutions and for one particular reduction and arrangement of the canonical correlating equation. The new generalized formulation appears to be applicable even for behavior for which the internal asymptote representing the transition is not known in advance, which is the usual situation.