Titel: Verwendung von erzeugenden Funktionen in der

The concept of generating functions is useful to obtain the distribution and averages of the degree of polymerization in the course of polymerization reactions and polycondensation reactions. Most of the material described in the literature deals with branched systems. In these systems classical statistical methods often run against walls and only advanced methods like the application of generating functions will be successful. On the other hand in less complicated cases the use of generating functions will prove advantages over the classical methods, papers on this topic are missing however, even in introductory texts. In this paper several simple examples illustrating the application of the method of generating functions have been worked out to show the power and usefulness of the machinery