#16697: implement symbolic lower incomplete gamma function
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       Reporter:  rws                |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  symbolics          |   Resolution:
       Keywords:  gamma,             |    Merged in:
  incomplete, special, functions     |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  d8d7ee29d7d0f8cf9f884c4403fe5c36cdf3336d
  u/rws/implement_symbolic_lower_incomplete_gamma_function|     Stopgaps:
   Dependencies:                     |
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Comment (by nbruin):

 Replying to [comment:14 rws]:
 > That gives:
 > {{{
 > sage: (incomplete_gamma(x,y).diff(x)).simplify()
 > D[0](gamma)(x, y)
 > }}}
 Cool! so it IS easy. Be sure to also test (I haven't checked the answer is
 correct, but at least it shouldn't raise an error):
 {{{
 sage: (incomplete_gamma(x,x+1).diff(x)).simplify().simplify()
 -(x + 1)^(x - 1)*e^(-x - 1) + D[0](gamma)(x, x + 1)
 }}}
 to check that both occurrences of `f.name()` have been replaced. I check
 the rest of that file and didn't find any further suspicious uses of
 `name` so after this, our maxima interface is probably perfect  :-).

--
Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:15>
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