Thread: Legendre Polynomials

Prove the following three-term recurrence relation for the Legendre Polynomials:

Originally Posted by lacy1104

Prove the following three-term recurrence relation for the Legendre Polynomials:

I have seen this done in two ways. The first uses the Rodriguez formula (equation 31) and the second uses the contour integral formula (equation 1 on the same site.) I'd go with the Rodriguez formula.

-Dan

Originally Posted by topsquark

I have seen this done in two ways. The first uses the Rodriguez formula (equation 31) and the second uses the contour integral formula (equation 1 on the same site.) I'd go with the Rodriguez formula.

-Dan

I still do see how this is applied.