FunctionSpace

FunctionSpace
is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.

DetailsDetails

  • With an explicit setting for FunctionSpace->s, only functions of type s will be considered.
  • FunctionSpace->{s1,s2,} specifies that types , , should be considered.
  • FunctionSpace->All uses all available types.
  • Possible types of discrete functions include:
  • "Polynomial"polynomials
    "RationalFunction"rational functions
    "HypergeometricTerm"hypergeometric terms
    "ConstantRecursive"constant-coefficient difference equation solutions
    "HolonomicSequence"polynomial-coefficient difference equation solutions
  • Possible types of continuous functions include:
  • "Polynomial"polynomials
    "RationalFunction"rational functions
    "Hypergeometric"hypergeometric functions
    "HolonomicFunction"polynomial-coefficient differential equation solutions

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

By default a small generating function is found if possible:

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Use FunctionSpace to control the forms found:

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Introduced in 2008
(7.0)