Abstract: In this paper, a systematic way is proposed to treat the poly condenzation reaction with two species of monomers A and B having a-and b-functionalities, respectively. The polycondenzation reaction is considered as a whole to approach gel point which can be equivalently represented by three different kinds of forms. Furthermore, by means of a reasonable way without Stirling's approximation, the asymptopic form of the equilibrium number distribution characterized by A-B type near the gel point is obtained to reach a generalized scaling law.

Key words: Polycondenzation, Stirling's, approximation, scaling law.