#15019: Don't allow differentiation with respect to order in Bessel functions
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       Reporter:  eviatarbach  |         Owner:
           Type:  defect       |        Status:  needs_review
       Priority:  blocker      |     Milestone:  sage-5.11
      Component:  symbolics    |    Resolution:
       Keywords:               |     Merged in:
        Authors:  Evitar Bach  |     Reviewers:  Volker Braun
Report Upstream:  N/A          |   Work issues:
         Branch:               |  Dependencies:
       Stopgaps:               |
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Changes (by {'newvalue': u'Evitar Bach', 'oldvalue': ''}):

 * reviewer:   => Volker Braun
 * author:   => Evitar Bach


Old description:

> This is wrong:
>
> {{{
> sage: var('nu z')
> (nu, z)
> sage: bessel_J(nu, z).diff(nu)
> -1/2*bessel_J(nu + 1, z) + 1/2*bessel_J(nu - 1, z)
> sage: bessel_J(nu, z).diff(z)
> -1/2*bessel_J(nu + 1, z) + 1/2*bessel_J(nu - 1, z)
> }}}

New description:

 This is wrong:

 {{{
 sage: var('nu z')
 (nu, z)
 sage: bessel_J(nu, z).diff(nu)
 -1/2*bessel_J(nu + 1, z) + 1/2*bessel_J(nu - 1, z)
 sage: bessel_J(nu, z).diff(z)
 -1/2*bessel_J(nu + 1, z) + 1/2*bessel_J(nu - 1, z)
 }}}

 Apply [attachment:trac15019.patch]

--

Comment:

 Looks good to me

--
Ticket URL: <http://trac.sagemath.org/ticket/15019#comment:2>
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