#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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Changes (by JoalHeagney):

  * keywords:  gamma, simplify_full => gamma, simplify_full,
               simplify_factorial, maxima


Comment:

 Hah hah hah.

 You won't believe this, but I went to the maxima-bugs newsgroup and found
 out that maxima has the following behaviour:

 (%i2) float((%i + 3)!);    [[BR]](%o2)              4.980156681183563 %i +
 1.5494982830181063

 So, the issue seems to be:

 - 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.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13869#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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