##  [Generating Function](/generating-function) 

  ##  [Generating Function](https://natural.quantumdictionary.io/generating-function-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A formal power series (or, in analytic contexts, a convergent power series) whose coefficients encode a sequence of numbers or combinatorial quantities, enabling algebraic manipulation to study that sequence.