# Spread Polynomials - Identities - Generating Functions

Generating Functions

The ordinary generating function is

The exponential generating function is

### Other articles related to "generating functions, generating function":

Generating Function (physics)
... Generating functions which arise in Hamiltonian mechanics are quite different from generating functions in mathematics ... In the case of physics, generating functions act as a bridge between two sets of canonical variables when performing canonical transformation ...
Examples Of Generating Functions - Worked Example A: Basics - Bivariate Generating Functions
... One can define generating functions in several variables, for series with several indices ... These are often called super generating functions, and for 2 variables are often called bivariate generating functions ... For instance, since is the generating function for binomial coefficients for a fixed n, one may ask for a bivariate generating function that generates the binomial coefficients for all k and n ...
Ordinary Generating Functions - Bivariate and Multivariate Generating Functions
... One can define generating functions in several variables for arrays with several indices ... These are called multivariate generating functions or, sometimes, super generating functions ... For two variables, these are often called bivariate generating functions ...

### Famous quotes containing the word functions:

One of the most highly valued functions of used parents these days is to be the villains of their children’s lives, the people the child blames for any shortcomings or disappointments. But if your identity comes from your parents’ failings, then you remain forever a member of the child generation, stuck and unable to move on to an adulthood in which you identify yourself in terms of what you do, not what has been done to you.
Frank Pittman (20th century)