#16813: symbolic Legendre / associated Legendre functions / polynomials
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       Reporter:  rws                |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.4
      Component:  symbolics          |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/rws/symbolic_legendre___associated_legendre_functions___polynomials|  
0f86b77a9aa818add6848cacf9a3f371d49c7d3a
   Dependencies:                     |     Stopgaps:
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Comment (by rws):

 Replying to [comment:5 maldun]:
 > I already implemented all Orthopolys one time:
 http://trac.sagemath.org/attachment/ticket/9706/trac_9706_ortho_polys.patch
 >
 > they only would need cleanup/restructuring. Maybe you can reuse some of
 the implemented methods (like recursions and derivatives)
 I am not sure about the derivatives. For `P(3,2,x).diff(x)` I get `-45*x^2
 + 15` (Wolfram agrees) while with your formula (lines 2377-2395 of the
 patch) I get (after simplification) `-45*x^2 - 15`

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Ticket URL: <http://trac.sagemath.org/ticket/16813#comment:12>
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