Logarythmic
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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??
[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??
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