#4102: Make special functions behave like PrimitiveFunction
-------------------------+--------------------------------------------------
Reporter: jwmerrill | Owner: burcin
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.1.3
Component: calculus | Keywords:
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The motivation for this is
{{{
sage: plot(bessel_J(1, x), (x, 1, 10))
Traceback (most recent call last):
...
TypeError: Unable to convert x
(='1-1/8*x^2+1/192*x^4-1/9216*x^6+1/737280*x^8-1/88473600*x^10+1/14863564800*x^12-1/3329438515200*x^14+1/958878292377600*x^16+O(x^17)')
to real number.
}}}
The problem is that special functions, or at least {{{bessel_J}}}, can't
currently be partially evaluated--that is, called with a
{{{SymbolicExpression}}} as an argument. The model of good behavior is
{{{polylog}}}, for which the above method produces a perfectly nice plot
{{{
sage: polylog(1,x),(x,.1,.9) #makes a fine plot
}}}
See discussion at http://groups.google.com/group/sage-
support/browse_thread/thread/1b985b080ba2369e/7dee9eed953857f5#7dee9eed953857f5
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4102>
SAGE <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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