# Homework Help: The Sturm-Liouville Theory

1. Nov 11, 2009

### Void123

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, $$\omega(x)$$, is real and correlates to the scalar product of functions.

Thanks.

2. Nov 11, 2009

### lanedance

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

$$<f(x),g(x)> = \int dx.g(x)f(x)w(x)$$

if i remember correctly, by writing teh DE in the correct SL form, the weight functio nshoudl be reasonably apparent