Af with B2 Domains

The individual domains indicated by superscripts 0, are defined through two sets of generating functions for the various generations 

Passing through the stage of cascade substitution for the construction of the path-weight generating functions, one finally arrives at 

For reasons which will become clear later on, we have introduced the abbreviations 

These functions 0 represent the scattering behavior of a full subtree that emerges from a functional group of a monomer selected at random. For instance  

Coupling of the two domains is achieved by partial reaction of the free end-groups of the two polymeric blocks. The fraction of free A and B groups is (1 - a) and (1 -/3), respectively, and (1 - a)p and (1 - /J) q are the fraction of these free endgroups which may be consumed by the coupling. We thus obtain for the zero-th generations 

---