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 stunner5000pt Oct12-06 05:01 PM

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

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

 HallsofIvy Oct12-06 06:44 PM

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

 aligator123 Nov16-06 04:43 PM

you can also use rodriguez formula for this

 silviacipi Nov22-06 06:19 AM

legendre polynom in three dimension

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

thanks!

 silviacipi Nov22-06 06:20 AM

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

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