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Re: Discrete Orthogonal Polynomials: Notebook or Package?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg86202] Re: Discrete Orthogonal Polynomials: Notebook or Package?
  • From: dh <dh at metrohm.ch>
  • Date: Thu, 6 Mar 2008 02:55:41 -0500 (EST)
  • References: <fqeta8$jgp$1@smc.vnet.net>


Hello Frank,

in version 6 of Mathematica you can use Othogonalize. E.g. to get polynomials up 

tp 4th order orthogonal on -3,-2,...3:

Orthogonalize[{1,x,x^2,x^3,x^4},(Print[{#1,#2}];Sum[#1  #2,{x,-3,3}])&]

hope this helps, Daniel



Frank Iannarilli wrote:

> Hi,

> 

> At library.wolfram.com, there is a link to a 1996 package for

> generating such DOPs as Chebyshev, Hahn, Meixner, etc (i.e.,

> orthogonal in discrete summation, rather than integration).  But the

> link leads to archiv.org, which in turn points to a dead link.

> 

> Can anyone point to a Mathematica implementation of DOPs?

> 

> Thanks!

> 




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