I noticed this today, for some mysterious reason integrate returns non
existing gamma_incomplete instead of gamma_inc, look at:
[gi...@raven3 ~]$ sage
----------------------------------------------------------------------
| Sage Version 4.3.4, Release Date: 2010-03-19 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: var('a,b,t')
(a, b, t)
sage: assume(0<a,a<1,b>0,t>0)
sage: integrate(x^(a-1)*exp(2*b*x), (x,0,t))
gamma(a)/((-1)^a*2^a*b^a) - gamma_incomplete(a, -2*b*t)/((-1)^a*2^a*b^a)
sage: gamma_incomplete?
Object `gamma_incomplete` not found.
sage: gamma_inc?
Type: function
Base Class: <type 'function'>
String Form: <function gamma_inc at 0x3224de8>
Namespace: Interactive
File:
/opt/sage/sage/local/lib/python2.6/site-packages/sage/functions/transcendental.py
Definition: gamma_inc(s, t)
Docstring:
Incomplete Gamma function Gamma(s,t).
EXAMPLES:
sage: gamma_inc(CDF(0,1), 3)
0.00320857499337 + 0.0124061858119*I
sage: gamma_inc(3, 3)
0.846380162253687
sage: gamma_inc(RDF(1), 3)
0.0497870683678639
I'm writing from break between classes so don't have time to browse
trac for this right now, is this known issue?
regards,
Andrzej.
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