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BUILT-IN MATHEMATICA SYMBOL
GeneratingFunction
GeneratingFunction[expr, n, x]
gives the generating function in x for the sequence whose n
series coefficient is given by the expression expr.
GeneratingFunction[expr, {n1, n2, ...}, {x1, x2, ...}]
gives the multidimensional generating function in 
, 
, ... whose 
, 
, ... coefficient is given by expr.
Details and Options
- The generating function for a sequence whose n
term is 
is given by 
. - The multidimensional 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 - In TraditionalForm, GeneratingFunction is output using
.
term is 1:
New in 7
