Legendre Polynomials
To show that two Legendre polynomials(Pn and Pm) are orthogonal wht is the test that i have to use?
is it this? [tex] \int_{1}^{1} P_{n}(x)P_{m}(x) dx = 0 [/tex] in that case to prove that P3 and P1 are orthogonal i have to use the above formula?? 
What is the definition of "orthogonal" in this case?

you can also use rodriguez formula for this

legendre polynom in three dimension
Hello,
does anyone know the rule to obtain a general [tex]P^n[/tex] Legendre Polynomial in three dimension? thanks! 
sorry, I wronged:the rule to obtain the general [tex]P_n[/tex] Legendre Polynomial

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