Derivatives of the Inverse Jacobi functions

The noun form of the derivatives of the inverse Jacobi functions is wrong for 9 of the 12 functions when we have not a simple argument m. These are some examples for the function inverse_jacobi_ns:

(%i1) diff(inverse_jacobi_ns(u,2*m),m,1);
(%o1) 2*'diff(inverse_jacobi_ns(u,2*m),2*m,1)

(%i2) diff(inverse_jacobi_ns(u,m/2),m,1);
(%o2) 'diff(inverse_jacobi_ns(u,m/2),m/2,1)/2

(%i3) diff(inverse_jacobi_ns(u,a*m),m,1);
(%o3) a*'diff(inverse_jacobi_ns(u,a*m),a*m,1)

The problem is, that we have the noun form of a derivative on the property list, but Maxima can not handle this case correctly.

We get the expected results when we put NIL on the property list:

(%i9) diff(inverse_jacobi_ns(u,2*m),m);
(%o9) 'diff(inverse_jacobi_ns(u,2*m),m,1)

(%i10) diff(inverse_jacobi_ns(u,m/2),m);
(%o10) 'diff(inverse_jacobi_ns(u,m/2),m,1)

(%i11) diff(inverse_jacobi_ns(u,a*m),m);
(%o11) 'diff(inverse_jacobi_ns(u,a*m),m,1)

Dieter Kaiser