#14847: Whittaker functions
-------------------------------------+-------------------------------------
       Reporter:  aschilling         |        Owner:  bump
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorics      |   Resolution:
       Keywords:  Whittaker          |    Merged in:
  functions, nonsymmetric Macdonald  |    Reviewers:
  polynomials                        |  Work issues:
        Authors:                     |       Commit:
Report Upstream:  N/A                |  adaee7b01e5133facb0581c7ccac9af59e3b15ed
         Branch:  u/jkeitel/14847    |     Stopgaps:
   Dependencies:  #14102             |
-------------------------------------+-------------------------------------
Changes (by jkeitel):

 * commit:   => adaee7b01e5133facb0581c7ccac9af59e3b15ed
 * branch:   => u/jkeitel/14847


Comment:

 I've imported the patch, but currently there are three failing doctests:

 {{{
 Failed example:
     whittaker_function(omega[1], w, -1, v)
 Expected:
     v^2*B[(-1, -1, 3)] + (v^2-v)*B[(-1, 1, 1)] + (v^2-v)*B[(-1, 0, 2)] +
 (v^2-v)*B[(0, -1, 2)] + (v^2-2*v+1)*B[(0, 0, 1)]
 Got:
     B[(-1, -1, 3)] + (-v+1)*B[(-1, 1, 1)] + (-v+1)*B[(-1, 2, 0)] +
 (-v+1)*B[(-1, 0, 2)] + (v^2-2*v+1)*B[(1, 0, 0)] + (-v+1)*B[(1, -1, 1)] +
 (-v+1)*B[(0, -1, 2)] + (v^2-2*v+1)*B[(0, 1, 0)] + (v^2-2*v+1)*B[(0, 0, 1)]
 **********************************************************************
 File "src/sage/combinat/root_system/whittaker_function.py", line 20, in
 sage.combinat.root_system.whittaker_function.whittaker_function
 Failed example:
     whittaker_function(omega[1], w, -1, v)
 Expected:
     v^2*B[(-1, -1, 3)] + (v^2-v)*B[(-1, 1, 1)] + (v^2-v)*B[(-1, 0, 2)] +
 (v^2-v)*B[(0, -1, 2)] + (v^2-2*v+1)*B[(0, 0, 1)]
 Got:
     -B[(-1, 2)] + (v-1)*B[(1, 0)] + (v-1)*B[(0, 1)]
 **********************************************************************
 File "src/sage/combinat/root_system/whittaker_function.py", line 22, in
 sage.combinat.root_system.whittaker_function.whittaker_function
 Failed example:
     whittaker_function(omega[1], w, -1, v)
 Expected:
     (v^2-v)*B[(-1, 1)] + v^2*B[(-1, 0)] + (v^2-v)*B[(0, 0)]
 Got:
     -B[(-1, 2)] + (v-1)*B[(1, 0)] + (v-1)*B[(0, 1)]
 }}}
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=adaee7b01e5133facb0581c7ccac9af59e3b15ed
 adaee7b]||{{{Imported patch.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/14847#comment:5>
Sage <http://www.sagemath.org>
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