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MathGroup Archive 2001

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Re: Chebyshev values

  • To: mathgroup at
  • Subject: [mg27360] Re: [mg27333] Chebyshev values
  • From: Roberto Brambilla <rlbrambilla at>
  • Date: Thu, 22 Feb 2001 02:25:06 -0500 (EST)
  • Sender: owner-wri-mathgroup at

At 03.17 21/02/01 -0500, you wrote:
>I wonder if someone could tell me how can I find a formulae for the 
>values of the derivatives of the Chebyshev polinomials in x=1.
>The table of this constants is easy obtained once you have selected the 
>value of n with:
>and the formulae if exist must depend on m and k.
>H. Ramos


ans=2^(m-1)(m-1)! k Binomial[m+k-1,k-m]

This result is obtained from Gradshteyn-Ryzhik 
formula 8.949 :

2^(m-1)Gamma[m] k GegenbauerC[k-m,m,x]

and formula 8.937(4)


Bye, Roberto

Roberto Brambilla
Via Rubattino 54
20134 Milano
tel +39.2.2125.5875
fax +39.2.2125.610
rlbrambilla at

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