#3219 elliptic_pi can't be differentiated contrary to what manual says

[David Scherfgen]

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.

[David Billinghurst]

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.

[David Billinghurst]

docs fixed in commit dcc8f9b..172b8fa

[David Billinghurst]

See feature request #139 Derivative of elliptic_pi
https://sourceforge.net/p/maxima/feature-requests/139/

[David Billinghurst]

Implemented
https://sourceforge.net/p/maxima/code/ci/106c95d399dd6ba40b413ee1d97a012e1473f62f/