#16697: implement symbolic lower incomplete gamma function
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Reporter: rws | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: symbolics | Resolution:
Keywords: gamma, incomplete, special, | Merged in:
functions | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Comment (by rws):
The reason why `gamma_inc(x,y)` gets output as `gamma(x,y)` is not
conversion as I thought but simple naming super in the constructor. It
would be just as easy to make that `gamma_inc` and change a few doctests
such that then:
{{{
sage: f = exp_integral_e(-1,x)
sage: f.integrate(x)
- Ei(-x) - gamma(-1, x)
+ Ei(-x) - gamma_inc(-1, x)
sage: gamma_inc(3,2)
- gamma(3, 2)
+ gamma_inc(3, 2)
sage: gamma(3,2)
gamma_inc(3, 2)
sage: gamma(x,0)
gamma(x)
sage: gamma(x, 0, hold=True)
- gamma(x, 0)
+ gamma_inc(x, 0)
}}}
I'm appending the patch that enables this here, so it is preserved.
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Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:4>
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