Re: Jacobi polynomials in Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg99061] Re: [mg99031] Jacobi polynomials in Mathematica*From*: Darren Glosemeyer <darreng at wolfram.com>*Date*: Sat, 25 Apr 2009 04:52:23 -0400 (EDT)*References*: <200904240748.DAA27988@smc.vnet.net>

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! > Primary definitions can be found on the following functions web pages: http://functions.wolfram.com/Polynomials/JacobiP/02/ http://functions.wolfram.com/HypergeometricFunctions/JacobiPGeneral/02/ The first defines the function for natural number n, while the second does not place a restriction on n (nu on the page). Darren Glosemeyer Wolfram Research

**References**:**Jacobi polynomials in Mathematica***From:*Cora L <cora.lahnstein@googlemail.com>