#4102: make bessel_J symbolic
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       Reporter:  jwmerrill       |         Owner:  burcin  
           Type:  enhancement     |        Status:  new     
       Priority:  major           |     Milestone:  sage-5.6
      Component:  calculus        |    Resolution:          
       Keywords:                  |   Work issues:          
Report Upstream:  N/A             |     Reviewers:          
        Authors:  Benjamin Jones  |     Merged in:          
   Dependencies:                  |      Stopgaps:          
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Comment (by benjaminfjones):

 Yet more work in progress, added lots of doctests, in particular to show
 that problems in #4230 and #3426 are fixed by this patch. One feature this
 patch adds is the ability to solve
 Bessel's diffeq (using Maxima) and get a usable symbolic solution back
 (see the doctests in the module level docstring and in the Bessel()
 function).

 Added brief mathematical exposition on the module docstring as well as
 some usage EXAMPLES.

 I think the patch is more or less ready for initial review. All tests
 withing the new file `sage/functions/bessel.py` pass on my machine and
 sage-5.6.beta3, but there are several doctests failing in other places
 that reference the Bessel functions. I'll work on patching those up for
 the next iteration.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4102#comment:21>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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