#16697: implement symbolic lower incomplete gamma function
-------------------------------------+-------------------------------------
       Reporter:  rws                |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-pending
      Component:  symbolics          |   Resolution:
       Keywords:  gamma,             |    Merged in:
  incomplete, special, functions     |    Reviewers:
        Authors:  Ralf Stephan       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  5f4a7fbd8598ef3fb22d8cb61d199dfffea23a8c
  public/ticket/16697                |     Stopgaps:
   Dependencies:  #17130,            |
  sympy-0.7.7                        |
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Comment (by buck):

 I tried to review this (per #18210:18) but quickly got confused. (This
 would be a lot easier on github.)

  1. Could one of you point me to the doc pertaining to `_sage_`? I did
 look, but the [http://www.sagemath.org/doc/developer/coding_in_python.html
 #special-sage-functions special sage functions] page doesn't mention it.
  2. There are some
 
[https://github.com/sagemath/sage/blob/master/src/sage/functions/other.py#L1040-L1056
 doctests regarding precision] that have been obliterated. Was this
 intentional? Why?
  3. It seems like this new function (gamma_inc_lower) would be deprecated
 as soon as #17722 is implemented. Don't we want to take a minute to figure
 out a design that works for both issues?

 I think if this patch implemented lower-gamma as a special case of a
 single general gamma function we would end up with if statements / edge
 cases / opportunities for bugs.

--
Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:47>
Sage <http://www.sagemath.org>
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