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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.

    Thanks.
     
  2. jcsd
  3. Nov 11, 2009 #2

    lanedance

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    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
     
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