#17722: lower incomplete gamma as gamma(a,0,x)
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Reporter: kcrisman | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by buck):
This interface makes a lot of sense to me.
The upper incomplete gamma would then be gamma(a,x,oo).
With the third arg defaulting to oo, the upper incomplete could be written
as just gamma(a, x), compatible with current code.
gamma(a) would be equivalent to gamma(a, 0, oo).
The identity at work is
[http://en.wikipedia.org/wiki/Incomplete_gamma_function#Definition this
one]:
[[Image(http://upload.wikimedia.org/math/e/1/8/e18b4f96c96cc78f20eef4818abef429.png)]]
[[Image(http://upload.wikimedia.org/math/7/b/d/7bdd9abf360c33c3e1c34f1a9772e857.png)]]
[[Image(http://upload.wikimedia.org/math/c/1/1/c117908df2ddee1367976ebe117c37a5.png)]]
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Ticket URL: <http://trac.sagemath.org/ticket/17722#comment:1>
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