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Legendre Polynomials

  1. Oct 12, 2006 #1
    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??
     
  2. jcsd
  3. Oct 12, 2006 #2

    HallsofIvy

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    What is the definition of "orthogonal" in this case?
     
  4. Nov 16, 2006 #3
    you can also use rodriguez formula for this
     
  5. Nov 22, 2006 #4
    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!
     
  6. Nov 22, 2006 #5
    sorry, I wronged:the rule to obtain the general [tex]P_n[/tex] Legendre Polynomial
     
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