[Maxima] Heun and Appell functions
robert.dodier at gmail.com
Mon Jan 8 22:44:12 CST 2007
On 1/6/07, Edmond Orignac <edmond.orignac at wanadoo.fr> wrote:
> I have tried to write some maxima functions to reduce
> the Heun function and the Appell F1 hypergeometric function
> of two variables to simpler expressions, similar to what the hgfred
> function does with pFq hypergeometric functions.
Edmond, thanks very much for taking the time to work on this topic.
There does not appear to be anything about Heun and Appell functions
at present -- looking for file names turns up nothing, and grep finds
nothing for Heun and only some conjugations of 'appeler' for Appell.
(But maybe someone whose French is stronger can review the
stuff in maxima/share/sym/ and verify that.)
So I would like, with your permission (and if no-one is opposed)
to release these files under the terms of the GNU General Public
License version 2 (Maxima's license) and include these files in
It would be best if we also have a test script, which has pairs of
expressions (first an input and second the expected output),
and also some documentation. Any plain-text notes you can put
together would be very helpful; we can work on the formatting.
I wonder if the identities in appelf1red.mac and heun_red.mac should
be applied always or only at the explicit request of the user.
We can arrange it either way -- maybe you can give us some guidance.
All the best
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