P. 542, last boxed set of equations
From Bill Goodwine's Wiki
The first equation should be
a_{m,n} = \frac{\hat r}{\alpha z_{m,n}} \frac{\int_0^{\hat r} \int_0 ^{2 \pi} r f(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} r J^2_m (z_{m,n} r/\hat r) \right)}</math>
The second equation should be
b_{m,n} = \frac{\hat r}{\alpha z_{m,n}} \frac{\int_0^{\hat r} \int_0 ^{2 \pi} r f(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} r J^2_m (z_{m,n} r/\hat r) \right)}</math>
The third equation should be
and the fourth equation should be