#11143: Add various Maxima special functions to symbol table
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Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone:
Component: symbolics | Keywords: ei Ei
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by benjaminfjones):
As far as I can tell, the general `exponential_e` function isn't available
directly in Sage or in PARI (which is used to evaluate the
`exponential_integral_1` function in Sage).
Also, it's possible to get maxima to rewrite the exponential integrals in
terms of gamma functions like so:
{{{
#!python
sage: maxima.eval('expintrep:gamma_incomplete')
'gamma_incomplete'
sage: maxima.integrate(exp(-x)*log(x+1), x, 0, oo)
%e*gamma_incomplete(0,1)
sage: N(e*gamma(0,1), digits=18)
0.596347362323194074
}}}
But as you see, `gamma_incomplete` isn't defined in Sage either, but the
table `sage.symbolic.pynac.symbol_table['maxima']` lists the Sage
equivalent `gamma`. Anyway, it should be possible to have the maxima
interface (with the help of maxima itself) rewrite any exponential
integral that Sage doesn't have in terms of gamma functions.
By the way, the owner on the ticket is @burcin, does that mean they are
working on it currently?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11143#comment:1>
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