On Oct 19, 1:40 pm, Sterling <sterlin...@gmail.com> wrote:
> Does SAGE support complex integration? This doesn't seem to work:
> z = var('z')
> integrate(1/z,z,-i,i)
> It returns an error saying the lower limit needs to be real.
(Wouldn't this depend on the path of integration and branches in any
case, since this has a pole at zero? Wolfram Alpha doesn't like it at
all.)
But this is a Maxima issue, as Sage only provides a wrapper around
Maxima's integration here, and the thread about principal value
integrals at http://www.math.utexas.edu/pipermail/maxima/2009/016510.html
and the manual at, for instance, http://eagle.cs.kent.edu/MAXIMA/maxima_21.html,
seem to indicate that Maxima doesn't have this functionality. You can
get residues:
http://maxima.sourceforge.net/docs/manual/en/maxima_20.html#IDX676.
A few Maxima devs are on this list and may have further comment about
this.
- kcrisman
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