1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: The Sturm-Liouville Theory

  1. Nov 11, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the weight functions for Trigg's, Legendre's, Legendre's Associated, and Bessel's equations.

    2. Relevant equations

    Not sure.

    3. The attempt at a solution

    I know that the weight function, [tex]\omega(x)[/tex], is real and correlates to the scalar product of functions.

  2. jcsd
  3. Nov 11, 2009 #2


    User Avatar
    Homework Helper

    the weight function determines how functions are othogonal & magnitudes by defining the inner product:

    [tex] <f(x),g(x)> = \int dx.g(x)f(x)w(x) [/tex]

    if i remember correctly, by writing teh DE in the correct SL form, the weight functio nshoudl be reasonably apparent
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook