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Homework Help: Spherical Bessel Equation

  1. Oct 11, 2006 #1
    What am I missing when I'm unsuccessful in showing by direct substitution into the spherical Bessel equation

    [tex]r^2 \frac{d^2R}{dr^2} + 2r \frac{dR}{dr} + [k^2 r^2 - n(n + 1)] R = 0[/tex]

    that

    [tex]n_0 (x) = - \frac{1}{x} \sum_{s \geq 0} \frac{(-1)^s}{(2s)!} x^{2s}[/tex]

    is a solution?

    What's the catch??
     
    Last edited: Oct 11, 2006
  2. jcsd
  3. Oct 11, 2006 #2
    Ok, if there is no catch, can someone give me at starter here?
     
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