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.