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
Introduced in 2008
(7.0)