(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am to prove that P_n(-x)=(-1)^n*P_n(x)

And, P'_n(-x)=(-1)^(n+1)*P'_n(x)

2. Relevant equations

3. The attempt at a solution

I know that whether a Legendre Polynomial is an even or odd function depends on its degree.It follows directly from the solution of Legendre differential equation.But,to prove these properties I am getting stuck.

Can anyone help me to start with these?

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# Homework Help: Legendre polynomial property

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