BUILT-IN MATHEMATICA SYMBOL

# ExponentialGeneratingFunction

ExponentialGeneratingFunction[expr, n, x]
gives the exponential generating function in x for the sequence whose n term is given by the expression expr.

ExponentialGeneratingFunction[expr, {n1, n2, ...}, {x1, x2, ...}]
gives the multidimensional exponential generating function in , , ... whose , , ... term is given by expr.

## Details and OptionsDetails and Options

• The exponential generating function for a sequence whose term is is given by .
• The multidimensional exponential generating function is given by .
• The following options can be given:
•  Assumptions \$Assumptions assumptions to make about parameters GenerateConditions False whether to generate answers that involve conditions on parameters Method Automatic method to use VerifyConvergence True whether to verify convergence

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

The exponential generating function for the sequence whose n term is 1:

 Out[1]=

The term in the series is :

 Out[2]=