#9240: applying full_simplify() to gamma functions causes an error
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   Reporter:  tomc       |       Owner:  tomc                                   
 
       Type:  defect     |      Status:  new                                    
 
   Priority:  major      |   Milestone:  sage-4.4.4                             
 
  Component:  symbolics  |    Keywords:  gamma function, full_simplify, 
factorial
     Author:             |    Upstream:  N/A                                    
 
   Reviewer:             |      Merged:                                         
 
Work_issues:             |  
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Comment(by ddrake):

 The patch applies cleanly to 4.4.4.alpha0, fixes the problem and includes
 some nice tests. I would give this a positive review, except that I really
 don't know the Pynac integration code.

 Oh, and you say "For Sage, factorial(x) is only defined if x is a non-
 negative integer", but (with a clean 4.4.4.alpha0), it's defined the same
 way as Maxima:
 {{{
 sage: factorial(5)
 120
 sage: factorial(1/2)
 1/2*sqrt(pi)
 sage: factorial(1/21)
 gamma(22/21)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9240#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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