P. 542, last boxed set of equations

The first equation should be

$a_{m,n}=\frac{\hat{r}}{\alpha z_{m,n}}\frac{\underset{0}{\overset{\hat{r}}{\int }}\underset{0}{\overset{2\pi }{\int }}rf(r,\theta )\cos \left(m\theta \right)J_m(z_{m,n}r/\hat{r})d\theta dr}{\left(\underset{0}{\overset{2\pi }{\int }}{\cos }^{2}m\theta d\theta \right)(\underset{0}{\overset{\hat{r}}{\int }}r{J}_m^2(z_{m,n}r/\hat{r}))}$

and the second equation should be

$b_{m,n}=\frac{\hat{r}}{\alpha z_{m,n}}\frac{\underset{0}{\overset{\hat{r}}{\int }}\underset{0}{\overset{2\pi }{\int }}rf(r,\theta )\sin \left(m\theta \right)J_m(z_{m,n}r/\hat{r})d\theta dr}{\left(\underset{0}{\overset{2\pi }{\int }}{\cos }^{2}m\theta d\theta \right)(\underset{0}{\overset{\hat{r}}{\int }}r{J}_m^2(z_{m,n}r/\hat{r}))}$

and the third equation should be

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

and the fourth equation should be

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

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