Physics Forums

Physics Forums (http://www.physicsforums.com/index.php)
-   Calculus & Beyond Homework (http://www.physicsforums.com/forumdisplay.php?f=156)
-   -   Legendre Polynomials (http://www.physicsforums.com/showthread.php?t=138025)

stunner5000pt Oct12-06 04:01 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?
[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??

HallsofIvy Oct12-06 05:44 PM

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

aligator123 Nov16-06 03:43 PM

you can also use rodriguez formula for this

silviacipi Nov22-06 05:19 AM

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!

silviacipi Nov22-06 05:20 AM

sorry, I wronged:the rule to obtain the general [tex]P_n[/tex] Legendre Polynomial


All times are GMT -5. The time now is 10:25 AM.

Powered by vBulletin Copyright ©2000 - 2014, Jelsoft Enterprises Ltd.
© 2014 Physics Forums