#17328: incomplete gamma function bugs for certain arguments
-------------------------------------+-------------------------------------
       Reporter:  kcrisman           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  calculus           |   Resolution:
       Keywords:  incomplete gamma   |    Merged in:
  function                           |    Reviewers:
        Authors:  Peter Bruin        |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  3cae7c8469d6c2f5dd3d15a872965f528f637c5c
  u/pbruin/17328-incgam              |     Stopgaps:
   Dependencies:                     |
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Comment (by kcrisman):

 Seems to give correct answers in various precisions.
 {{{
 plot(lambda t: gamma(-1, -log(t)).real() -
 numerical_integral(1/ln(x)^2,2,t)[0],2,3,color='red')
 }}}
 is a very nice straight line ''just'' below zero now.   And the imaginary
 part seems to be consistently pi for t>1.  And the fix is a good one.
 > We should also add a doctest for the original bug.
 Did you want to add
 {{{
 N(integral(1/log(x)^2,(x,2,3)))
 }}}
 as well then, or is the example you have with the actual antideriv and
 floats sufficient?

--
Ticket URL: <http://trac.sagemath.org/ticket/17328#comment:8>
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