A Moments of the Stockmayer distribution function

Because there are -1 paths going out of the k junction, the result can be understood 

the gel point condition (3.77) is also derived from the branching coefficient method. 

Most physical gels have multiple cross-links. They are formed by the association of the particular segments on the polymer chains. Therefore, gels with multiple junctions may be understood more profoundly when they are treated by thermodynamic theory rather than reaction theory. In Section 7.1, we shall present some of the equilibrium thermodynamics of physical gels with multiple junctions. 

We define the fc-th moments for the power series with coefficients co and as 

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