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Re: Jacobi polynomials in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg99063] Re: Jacobi polynomials in Mathematica
  • From: Cora L <cora.lahnstein at googlemail.com>
  • Date: Sat, 25 Apr 2009 04:52:46 -0400 (EDT)
  • References: <gsrqsm$rac$1@smc.vnet.net> <gss3d4$2po$1@smc.vnet.net>

On 24 Apr, 11:13, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
wrote:
> Hi,
>
> a simple check
>
> JacobiP[n, a, b, z] /. {n -> 0.5, a -> 0.5, b -> 0.5, z -> 0.2}
>
> gives
>
> 0.767081
>
> so, it may be defined.
>
> Regards
>    Jens
>
> Cora L wrote:
> > Hello,
> > I have a simple question: in Mathematica the Jacobi polynomials are
> > implemented
> > as JacobiP[n, a, b, z], see
> >http://mathworld.wolfram.com/JacobiPolynomial.html
>
> > Is JacobiP[n, a, b, z] also defined if n is not an integer? More
> > general, is
> > JacobiP[n, a, b, z] defined for all real n, a, b and z?
>
> > Thanks!

Well, even if Mathematica is giving out a value I'm not too sure
whether it's correct or not.

For example,
Product[j, {j, 1, 4}] gives 24

But
Product[j, {j, 1, 4.5}] also gives 24.

Surely, the second answer is wrong.


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