Legendre Polynomials

  • #1
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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??
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
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What is the definition of "orthogonal" in this case?
 
  • #3
you can also use rodriguez formula for this
 
  • #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!
 
  • #5
sorry, I wronged:the rule to obtain the general [tex]P_n[/tex] Legendre Polynomial
 

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