#16813: symbolic Legendre / associated Legendre functions / polynomials
-------------------------------------+-------------------------------------
       Reporter:  rws                |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  symbolics          |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Ralf Stephan,      |    Reviewers:
  Stefan Reiterer                    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  4e99dfa0a5cc82d168b2d3e90a4c2d94f65a21d5
  u/rws/symbolic_legendre___associated_legendre_functions___polynomials|     
Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by mmezzarobba):

 {{{
 sage: legendre_P(42, 12345678)
 
1464081544112412716366892468459853695115358209756840823628776385121841706762162962766108364297738809627122469598911070029409071998031560780937314580877929546448067606814039101080853578172130265741673137107647826759931295833598386722228898959000304822089300102623241891719774710215869248045233381461475507593850687226480251/549755813888
 sage: legendre_P(42, RR(12345678))
 +infinity
 sage: legendre_P(42, Reals(100)(12345678))
 2.6631488146675341638308827323e309
 }}}

 → Consistent so far. But:

 {{{
 sage: legendre_P(42, Reals(20)(12345678))
 legendre_P(42, 1.2346e7)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16813#comment:40>
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