#4102: make bessel_J symbolic
--------------------------------------------------------------+-------------
       Reporter:  jwmerrill                                   |         Owner:  
burcin                            
           Type:  enhancement                                 |        Status:  
needs_work                        
       Priority:  major                                       |     Milestone:  
sage-5.11                         
      Component:  calculus                                    |    Resolution:  
                                  
       Keywords:  sd48                                        |   Work issues:  
                                  
Report Upstream:  N/A                                         |     Reviewers:  
Karl-Dieter Crisman, Burcin Erocal
        Authors:  Benjamin Jones, Eviatar Bach, Volker Braun  |     Merged in:  
                                  
   Dependencies:                                              |      Stopgaps:  
                                  
--------------------------------------------------------------+-------------
Changes (by jdemeyer):

  * status:  positive_review => needs_work


Comment:

 I get several doctest failures:
 {{{
 sage -t --long devel/sage/sage/functions/bessel.py
 **********************************************************************
 File "devel/sage/sage/functions/bessel.py", line 101, in
 sage.functions.bessel
 Failed example:
     bessel_J(0, x).diff(x)
 Expected:
     1/2*bessel_J(-1, x) - 1/2*bessel_J(1, x)
 Got:
     -1/2*bessel_J(1, x) + 1/2*bessel_J(-1, x)
 **********************************************************************
 File "devel/sage/sage/functions/bessel.py", line 248, in
 sage.functions.bessel.Function_Bessel_J
 Failed example:
     f.diff(x)
 Expected:
     1/2*bessel_J(1, x) - 1/2*bessel_J(3, x)
 Got:
     -1/2*bessel_J(3, x) + 1/2*bessel_J(1, x)
 **********************************************************************
 File "devel/sage/sage/functions/bessel.py", line 357, in
 sage.functions.bessel.Function_Bessel_J._derivative_
 Failed example:
     derivative(f, z)
 Expected:
     z |--> 1/2*bessel_J(9, z) - 1/2*bessel_J(11, z)
 Got:
     z |--> -1/2*bessel_J(11, z) + 1/2*bessel_J(9, z)
 **********************************************************************
 }}}
 (and various similar failures)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4102#comment:74>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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