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

 We don't need all of `gamma, gamma_inc, incomplete_gamma` as symbolic
 function if they all mean the same. Some of them are probably there for
 user convenience or because of legacy. I think we want only one spelling
 for `gamma_upper`, whatever it may be. The `gamma(a,x)` convention seems
 fairly prominent in computer algebra, but is a poor translation of math
 notation, where the difference between upper and lower is made with case
 (and indeed, the complete gamma function tends to be capital gamma. I
 don't think I've ever seen different).

 Because of tab completion, you definitely want a binding available that
 starts with `gamma`. I'd be fine with `gamma_lower` but if you want to go
 with `gamma_lower_incomplete`, that's fine with me too. So, I'd propose

    8. Leave upper incomplete gamma as is and implement a symbolic function
 `gamma_lower` (or modified spelling) to correspond to maxima's
 gamma_greek.

--
Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:2>
Sage <http://www.sagemath.org>
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