#2516: generalized hypergeometric functions should be implemented
-------------------------------------+-------------------------------------
       Reporter:  ddrake             |        Owner:  cwitty
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  symbolics          |   Resolution:
       Keywords:  hypergeometric     |    Merged in:
        Authors:  Fredrik            |    Reviewers:  Ralf Stephan
  Johansson, Eviatar Bach, Ralf      |  Work issues:
  Stephan                            |       Commit:
Report Upstream:  N/A                |  0dbbacd5af23a111706b660ec997c3b302a33525
         Branch:  u/rws/ticket/2516  |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by rws):

 * commit:  b514b8bdc5ab36feef0ba516d9053743e1d9b4c2 =>
     0dbbacd5af23a111706b660ec997c3b302a33525


Comment:

 Rebased on 6.2.beta8. I also included the test for `Expression` in
 `fast_callable`.

 Replying to [comment:35 nbruin]:
 >  - You are installing an extra rule in `mqapply_to_sage`, which I assume
 is correct. This rule registered in the special_max_to_sage dictionary:
 Great! that's what you're supposed to do
 >  - However, for conversion back, there should be a corresponding entry
 in special_sage_to_max as well, and you're not adding that. You'd have to
 test, but from the rule in the other direction, I'd guess it should be
 something like:
 > {{{
 > sage.functions.hypergeometric.hypergeometric : lambda A, B, X :
 [[mqapply],[[max_hyper,
 max_array],lisp_length(A)-1,lisp_length(B)-1],A,B,X]
 > }}}
 > where
 > {{{
 > lisp_length=EclObject('length')
 > }}}
 >
 > If you don't put this rule in place, you'll find that things like
 "limit", "integral" and "sum" (which use `sr_to_max`) will probably not
 work correctly with hypergeometric function. (in fact, I'm not so sure
 maxima has much support for them anyway, but at least we should make sure
 that the functions can survive a round-trip)
 I'm afraid offhand I have no idea what this is about. Will try.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=4b4ed75db309567fae5c8115c8423cfde01b611b
 4b4ed75]||{{{Merge branch 'develop' into t/2516/ticket/2516}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=0dbbacd5af23a111706b660ec997c3b302a33525
 0dbbacd]||{{{2516: fix last doctests}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/2516#comment:49>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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