#9908: maxima sum returns hypergeometric function
----------------------------------+------------------------
       Reporter:  schilly         |        Owner:  burcin
           Type:  defect          |       Status:  new
       Priority:  major           |    Milestone:  sage-6.3
      Component:  symbolics       |   Resolution:
       Keywords:  hypergeometric  |    Merged in:
        Authors:                  |    Reviewers:
Report Upstream:  N/A             |  Work issues:
         Branch:                  |       Commit:
   Dependencies:                  |     Stopgaps:
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Comment (by kcrisman):

 #2516 has all the examples above in it, with the exception of the ones
 mentioned in the comments.
 * One would want to be able to do
 {{{
 b=var('b')
 integral(1/(x^b+1),x)
 }}}
   without using W|A; apparently `1/(a^b+1)` would yield
 `2F1(1,1/a,1+1/a,-a^x)`.
 * Apparently
 {{{
 sum(x^(3*k)/factorial(2*k),k,0,oo)
 }}}
   would also be doable with hypergeometrics.

--
Ticket URL: <http://trac.sagemath.org/ticket/9908#comment:11>
Sage <http://www.sagemath.org>
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