#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):

 There's doctest coverage missing (for the deprecated function), and this
 patch doesn't fix the numerical instability in incomplete gamma as
 promised [ticket:18210#comment:18 elsewhere].


 {{{
 sage: gamma_inc_lower(25, 14.5).n()
 -6.63538851954338e22
 sage: gamma_inc_lower(25, 14.5).n(algorithm='mpmath')
 -6.63538851954338e22
 sage: gamma_inc_lower(25, 14.5).n(algorithm='pari')
 -6.63538851954338e22
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16697#comment:60>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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