gives the exponential generating function in x for the sequence whose n term is given by the expression expr.
gives the multidimensional exponential generating function in x1, x2, … whose n1, n2, … 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
Examplesopen allclose all
Basic Examples (1)
Basic Uses (6)
Plot the spectrum in the complex plane using ParametricPlot3D:
ExponentialGeneratingFunction will use several properties including linearity:
ExponentialGeneratingFunction automatically threads over lists:
Special Sequences (13)
The DiscreteRatio is rational for all hypergeometric term sequences:
Use GenerateConditions to generate conditions of validity: