Mathematica 9 is now available
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Mathematica >
Built-in Mathematica SymbolSee Also »|More About »

FunctionSpace

FunctionSpace
is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.
  • 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.
  • 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
EXAMPLESCLOSE ALL
Basic Examples   (1)
By default a small generating function is found if possible:
Use FunctionSpace to control the forms found:
By default a small generating function is found if possible:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Use FunctionSpace to control the forms found:
In[3]:=
Click for copyable input
Out[3]=
New in 7
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team