Homework Help: Legendre Polynomials

1. Oct 12, 2006

stunner5000pt

To show that two Legendre polynomials(Pn and Pm) are orthogonal wht is the test that i have to use?

is it this?
$$\int_{-1}^{1} P_{n}(x)P_{m}(x) dx = 0$$

in that case to prove that P3 and P1 are orthogonal i have to use the above formula??

2. Oct 12, 2006

HallsofIvy

What is the definition of "orthogonal" in this case?

3. Nov 16, 2006

aligator123

you can also use rodriguez formula for this

4. Nov 22, 2006

silviacipi

legendre polynom in three dimension

Hello,
does anyone know the rule to obtain a general $$P^n$$ Legendre Polynomial in three dimension?

thanks!

5. Nov 22, 2006

silviacipi

sorry, I wronged:the rule to obtain the general $$P_n$$ Legendre Polynomial