elliptic_pi can't be differentiated contrary to what manual says

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Closed rtoy closed 3 months ago

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:24 Created by tomasriker on 2016-09-16 16:43:36 Original: https://sourceforge.net/p/maxima/bugs/3219

The manual says about elliptic_pi(n, phi, m):

Only the derivative with respect to phi is known by Maxima.

But this doesn't work:

(%i1) diff(elliptic_pi(n, phi, m), phi);
(%o1) 'diff(elliptic_pi(n,phi,m),phi,1)

It works for none of the three parameters.

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:26 Created by billingd on 2016-09-18 12:28:40 Original: https://sourceforge.net/p/maxima/bugs/3219/#d1cc

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:28 Created by billingd on 2016-09-18 12:28:41 Original: https://sourceforge.net/p/maxima/bugs/3219/#9f6c

You are correct. There is no code for the symbolic differentiation or integration of elliptic_pi(). I will update the documentation.

The derivative wrt the third arg is given in DLMF 19.4.7. Adding this would be a feature request.

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:30 Created by billingd on 2016-09-18 12:35:45 Original: https://sourceforge.net/p/maxima/bugs/3219/#a394

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:32 Created by billingd on 2016-09-18 12:35:45 Original: https://sourceforge.net/p/maxima/bugs/3219/#ab2b

docs fixed in commit dcc8f9b..172b8fa

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:34 Created by billingd on 2016-09-19 11:30:14 Original: https://sourceforge.net/p/maxima/bugs/3219/#9bf9

rtoy commented 3 months ago

Imported from SourceForge on 2024-07-02 08:13:36 Created by billingd on 2016-09-21 14:05:59 Original: https://sourceforge.net/p/maxima/bugs/3219/#dd8c