Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2013-08-16 01:45:39

maths4prasad
Novice

Offline

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+t)) = (1t)(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 2013-08-16 02:17:20

bobbym
Administrator

Offline

Re: rodrigues formula

Hi;

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.

Board footer

Powered by FluxBB