#4102: make bessel_J symbolic
----------------------------------+-----------------------------------------
       Reporter:  jwmerrill       |         Owner:  burcin             
           Type:  enhancement     |        Status:  needs_review       
       Priority:  major           |     Milestone:  sage-5.9           
      Component:  calculus        |    Resolution:                     
       Keywords:                  |   Work issues:                     
Report Upstream:  N/A             |     Reviewers:  Karl-Dieter Crisman
        Authors:  Benjamin Jones  |     Merged in:                     
   Dependencies:                  |      Stopgaps:                     
----------------------------------+-----------------------------------------

Comment (by kcrisman):

 > Patchbot shows test failures on sage-5.9.beta2
 In particular, they are relevant:
 {{{
 sage -t sage/functions/bessel.py
 **********************************************************************
 File "sage/functions/bessel.py", line 977, in sage.functions.bessel.Bessel
 Failed example:
     f = desolve(diffeq, y, [1, 1, 1]); f
 Expected:
     (bessel_J(0, 1) + bessel_J(1, 1))*bessel_Y(0, x)/(bessel_Y(0,
 1)*bessel_J(1, 1) - bessel_Y(1, 1)*bessel_J(0, 1)) - (bessel_Y(0, 1) +
 bessel_Y(1, 1))*bessel_J(0, x)/(bessel_Y(0, 1)*bessel_J(1, 1) -
 bessel_Y(1, 1)*bessel_J(0, 1))
 Got:
     (bessel_Y(0, 1) + bessel_Y(1, 1))*bessel_j(0, x)/(bessel_j(0,
 1)*bessel_Y(1, 1) - bessel_j(1, 1)*bessel_Y(0, 1)) - (bessel_j(0, 1) +
 bessel_j(1, 1))*bessel_Y(0, x)/(bessel_j(0, 1)*bessel_Y(1, 1) -
 bessel_j(1, 1)*bessel_Y(0, 1))
 **********************************************************************
 File "sage/functions/bessel.py", line 983, in sage.functions.bessel.Bessel
 Failed example:
     fp.subs(x=1).n()
 Exception raised:
     Traceback (most recent call last):
       File
 "/mnt/storage2TB/patchbot/Sage/sage-5.9.beta2/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 460, in _run
         self.execute(example, compiled, test.globs)
       File
 "/mnt/storage2TB/patchbot/Sage/sage-5.9.beta2/local/lib/python2.7/site-
 packages/sage/doctest/forker.py", line 819, in execute
         exec compiled in globs
       File "<doctest sage.functions.bessel.Bessel[29]>", line 1, in
 <module>
         fp.subs(x=Integer(1)).n()
       File "expression.pyx", line 4381, in
 sage.symbolic.expression.Expression._numerical_approx
 (sage/symbolic/expression.cpp:21011)
     TypeError: cannot evaluate symbolic expression numerically
 **********************************************************************
 1 item had failures:
    2 of  46 in sage.functions.bessel.Bessel
     [258 tests, 2 failures, 16.6 s]
 ----------------------------------------------------------------------
 sage -t sage/functions/bessel.py  # 2 doctests failed
 ----------------------------------------------------------------------
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4102#comment:40>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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