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MathGroup Archive 2004

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Re: Numeric methods. Orthogonal polynomials.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45831] Re: Numeric methods. Orthogonal polynomials.
  • From: Roland Franzius <roland.franzius at uos.de>
  • Date: Tue, 27 Jan 2004 04:50:25 -0500 (EST)
  • Organization: Universitaet Hannover
  • References: <bv2fgl$47$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

fiddlehead wrote:

> Hello.
> 
> I must compute values of ratios n-th orthogonal polynomial with weight
> cos(x) (-PI, PI). Do you have any suggestions, scripts, e-books,
> informations? If it possible I ask about fast answer.

Transform to y=Sin x,  dy = Cos x dx and look for the family 
LegendreP[n,0,Sin[x]]/Sqrt[Integrate[LegendreP[n,0,x]^2]{x,0,1}].

-- 

Roland Franzius


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