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Question: Integral related to Legendre polynomials

Question:Integral related to Legendre polynomials

Zeineb 520 Maple
derivative polynomial integration legendre orthopoly
April 28 2016
1

Dear all

I need a help to compute the integral from -1 to 1 of product of derivative of legendre polynomial

> restart;
> with(orthopoly);

P(n, x); # Designe the legendre polynomial of degree n
I would like to compute

int(diff(P(n,x),x)*diff(P(m,x),x),x=-1..1) ;

 

In this previous formula when I put n=2 and m=3 I can get the result but in general  case i cannot,

Many thanks

 

 
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