My Math Forum please i have exam yet help me soon

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 March 26th, 2011, 12:20 AM #1 Newbie   Joined: Jan 2011 Posts: 3 Thanks: 0 please i have exam yet help me soon using $\left ( 1-2xt+t^{2} \right )^{-1/2}=\sum p_{n}t^{n}$ prove that $\left ( 1-x^{2} \right )p_{n}^{''}--2xp_{n}^{'}+n\left ( n+1 \right )p_{n}=0 thank you$ Hint $p_{n}\left ( x \right )=\frac{1}{2^{n}n!}\frac{d^{n}}{dx^{n}}\left ( x^{2}-1 \right )^{n}$
 March 30th, 2011, 10:48 PM #2 Senior Member   Joined: Jun 2010 Posts: 618 Thanks: 0 Re: please i have exam yet help me soon Hello mathematicphysics. The polynomials you are interested in are the Legendre polynomials, so I would suggest your first step should be to look these up in a good book or online reference and see what you learn. Likely you will find the solution to your problem in some book. If you are still stuck, reply here and I will be glad to help you out with details, but please post some work so we know where you are getting stuck. I don't say this to sound aloof, but rather to save myself lots of typing! -Ormkärr-
April 7th, 2011, 12:58 AM   #3
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Re: please i have exam yet help me soon

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 Originally Posted by Ormkärr Hello mathematicphysics. The polynomials you are interested in are the Legendre polynomials, so I would suggest your first step should be to look these up in a good book or online reference and see what you learn. Likely you will find the solution to your problem in some book. If you are still stuck, reply here and I will be glad to help you out with details, but please post some work so we know where you are getting stuck. I don't say this to sound aloof, but rather to save myself lots of typing! -Ormkärr-

thank you Mr Ormkärr that is very kind of you

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