- #1

center o bass

- 560

- 2

[tex]\int_{-1}^{1} L_n(x) P_m(x) dx = 0[/tex]

for all P(x) where m is less than n. How does one prove that the legendre polynomials are in the set of such orthogonal polynomials? It's okay that they are orthogonal among themselves, but I wonder how to show that they are orthogonal to everyone else with lower degree?