Generating Functions

Some articles on generating functions, generating function:

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 ...
Spread Polynomials - Identities - Generating Functions
... The ordinary generating function is The exponential generating function is. ...
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 ...
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 ...

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