Using the identity:
with:
Derive an expression for the legendre polynomial of degree 2.
Any help here will be amazing as I absolutely haven't got a clue!
Also from this it also asks to evaluate but i take that if you can find then you can also find and use the same method for
Thank you
. Use the first few terms of the binomial expansion of (with ) to find the coefficient of .
You could get by the same method. Alternatively, it might be slightly easier to start by differentiating with respect to x, then put x=0, and finally use the binomial series to find the coefficient of .