#13869: Gamma of complex numbers incorrectly simplifies to factorial
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Reporter: JoalHeagney |
Owner: burcin
Type: defect |
Status: new
Priority: major |
Milestone: sage-5.6
Component: symbolics |
Resolution:
Keywords: gamma, simplify_full, simplify_factorial, maxima | Work
issues:
Report Upstream: N/A |
Reviewers:
Authors: |
Merged in:
Dependencies: |
Stopgaps:
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Comment (by benjaminfjones):
Replying to [comment:9 JoalHeagney]:
>
> - maxima treats x! and gamma(x+1) identically in regards to dealing with
complex numbers (which I think is mathematically appalling).
>
> - so if there's any difference between sagemath and maxima regarding (3
+ i)!, it's sagemath's doing.
Why is that appalling? \Gamma is a natural extension of factorial to the
complex plane that agrees with factorial everywhere that factorial is
defined.
+1 to exposing more simplification options from Maxima.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13869#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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