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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 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
term is 1:
term in the series is 
New in 7
