I think the main problem is the use of a recursively defined Hermite
polynomial rather than the
SAGE function hermite defined in functions/orthogonal_polys.py (which
uses maxima).
Writing h(n,y) for your hermite(n,y), then phi1 for the function which
uses h, and phi for the function which uses
I am sure this is the issue. Your phi here is probably going through
maxima (and probably trying to simplify symbolically) because of the
sqrt() and pi). If you do something like
sage: p(n,y) = 1/(pi*sqrt(2*n-y^2))
sage: plot(p(5, x)^2, (x,-5,5))
it should be acceptable.
On Jun 15, 2008,
One reason this is really slow is that you are probably using a
symbolic variable like x, or var('y'). Currently working in the
symbolic ring is pretty slow. One way to work around this is use an
explicitly defined polynomial ring. As an example, to do:
sage: var('y')
sage: hermite(10,y)
