ExponentialGeneratingFunction

ExponentialGeneratingFunction[expr, n, x]
gives the exponential generating function in x for the sequence whose n^(th) 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 ^(th) term is is given by .
  • The multidimensional exponential generating function is given by .
  • The following options can be given:
  • Assumptions$Assumptionsassumptions to make about parameters
    GenerateConditionsFalsewhether to generate answers that involve conditions on parameters
    MethodAutomaticmethod to use
    VerifyConvergenceTruewhether to verify convergence
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