#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:  Buck Evan
        Authors:  Ralf Stephan       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/rws/16697-1      |  f3be6f16908734f6c6e752578653a3ca09189011
   Dependencies:  sympy-0.7.7        |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by buck):

 I did the full test with sympy-0.7.7, only after I got your new doctests
 in functions.other passing.

 I reproduced the combine-gamma-greek problem with sage -br, which I would
 think should avoid any version-mismatch issues no?  (Apparently the maxima
 writer forgot that uppercase gamma is also greek?)

 That said, I can't reproduce it anymore after merging your branch and
 running another sage -br.

 Should this not come out as gamma_inc_lower?

 {{{
 ./sage -br
 sage: maxima('gamma_greek(x, y)')
 gamma_greek(x,y)
 }}}

 I do see that `_sage_` of the same expression yields gamma_inc_lower. I
 suppose I don't know enough about the coersion going on here. I did try
 looking in the docs but didn't find anything that helped me understand
 this particular aspect.

 {{{
 sage: maxima('gamma_greek(x, y)')
 gamma_greek(x,y)

 sage: maxima('gamma_greek(x, y)')._sage_()
 gamma_inc_lower(x, y)

 sage: maxima('gamma_greek(x, y)').simplify()
 simplify(gamma_greek(x,y))

 sage: maxima('gamma_greek(x, y)')._sage_().simplify()
 gamma_inc_lower(x, y)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:56>
Sage <http://www.sagemath.org>
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