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7.7.19.0. ratSol
Procedure from library dmodloc.lib (see dmodloc_lib).
- Usage:
- ratSol(I); I ideal
- Assume:
- The basering is the n-th Weyl algebra W over a field of
characteristic 0 and for all 1<=i<=n the identity
var(i+n)*var(i)=var(i)*var(i+1)+1 holds, i.e. the sequence of
variables is given by x(1),...,x(n),D(1),...,D(n), where D(i) is the
differential operator belonging to x(i).
Moreover, assume that I is holonomic.
- Return:
- module, a basis of the rational solutions to the given system of
linear PDEs with polynomial coefficients, encoded via I
Note that each entry has two components, the first one standing for
the enumerator, the second one for the denominator.
- Remarks:
- Reference: (OTT), Algorithm 3.10
- Note:
- If printlevel=1, progress debug messages will be printed,
if printlevel>=2, all the debug messages will be printed.
Example:
See also:
polSol;
polSolFiniteRank.
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