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7.7.19.0. polSol
Procedure from library dmodloc.lib (see dmodloc_lib).

Usage:
polSol(I[,w,m]); I ideal, w optional intvec, m optional int

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:
ideal, a basis of the polynomial solutions to the given system of linear PDEs with polynomial coefficients, encoded via I

Remarks:
If w is given, w should consist of n strictly negative entries. Otherwise and by default, w is set to -1:n.
In this case, w is used as weight vector for the computation of a b-function.
If m is given, m is assumed to be the minimal integer root of the b-function of I w.r.t. w. Note that this assumption is not checked.
Reference: (OTT), Algorithm 2.4

Note:
If printlevel=1, progress debug messages will be printed, if printlevel>=2, all the debug messages will be printed.

Example:
 
See also: polSolFiniteRank; ratSol.


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