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#1 2013-08-15 03:45:39

Registered: 2013-08-15
Posts: 3

rodrigues formula

problem was to prove that ∑(n=0 to n=∞) t^2n ∫(-1 to 1)P^2(n)(x)dx=∫(-1 to 1) (dx ÷(1-2xt+t²)) = (1÷t)(log(1+t) ÷log(1-t))
upto this i followed but after that last step the book which i am refering gives answer =2÷(2n+1)
can u just help me how to come to that answer.. plz give me steps to follow..


#2 2013-08-15 04:17:20

From: Bumpkinland
Registered: 2009-04-12
Posts: 84,766

Re: rodrigues formula


The first thing is that has to formatted in a way that can be read. Do you know how to use latex?

First of all what is P^2(n)(x)? The Legendre polynomials? Did I interpret your problem correctly in my latex?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.


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