Definitions and properties of generating functions

The generating function is one of a class of techniques useful in the solution of difference equations. The method preserves the discrete nature of PCLD at all times and thus is not restricted to long chains and provides a concise representation of the rate equations and the integrated solutions. This section presents a set of definitions and properties of broad utility in the analysis of 

Definition Fora discrete variable n = 1,2,3,4. and continuous variable, t, a generating function of P t) can be defined as 

The usefulness of this form derives from it having the following properties  

---