# P. 542, last boxed set of equations

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The third equation should be

and the fourth equation should be

From Bill Goodwine's Wiki

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The third equation should be

$c_{m,n}={\frac {\hat {r}}{\alpha z_{m,n}}}{\frac {\int _{0}^{\hat {r}}\int _{0}^{2\pi }rg(r,\theta )\cos m\theta J_{m}(z_{m,n}r/{\hat {r}})d\theta dr}{\left(\int _{0}^{2\pi }\cos ^{2}m\theta d\theta \right)\left(\int _{0}^{\hat {r}}J_{m}^{2}(z_{m,n}r/{\hat {r}})\right)}}$

and the fourth equation should be

$d_{m,n}={\frac {\hat {r}}{\alpha z_{m,n}}}{\frac {\int _{0}^{\hat {r}}\int _{0}^{2\pi }rg(r,\theta )\sin m\theta J_{m}(z_{m,n}r/{\hat {r}})d\theta dr}{\left(\int _{0}^{2\pi }\cos ^{2}m\theta d\theta \right)\left(\int _{0}^{\hat {r}}J_{m}^{2}(z_{m,n}r/{\hat {r}})\right)}}.$

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