FunctionSpace
FunctionSpace
is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.
Details
- With an explicit setting for FunctionSpace->s, only functions of type s will be considered.
- FunctionSpace->{s1,s2,…} specifies that types s1, s2, … 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:
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"Polynomial" polynomials "RationalFunction" rational functions "Hypergeometric" hypergeometric functions "HolonomicFunction" polynomial-coefficient differential equation solutions
Examples
Basic Examples (1)
By default, a small generating function is found if possible:
Use FunctionSpace to control the forms found:
Wolfram Research (2008), FunctionSpace, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionSpace.html.
Text
Wolfram Research (2008), FunctionSpace, Wolfram Language function, https://reference.wolfram.com/language/ref/FunctionSpace.html.
CMS
Wolfram Language. 2008. "FunctionSpace." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FunctionSpace.html.
APA
Wolfram Language. (2008). FunctionSpace. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FunctionSpace.html