The symbol on the left side of (3.13) should be the same as defined in (2.12), namely, $\unicode[STIX]{x1D6E9}(\unicode[STIX]{x1D6FC},\unicode[STIX]{x1D702})$ .

The two $qN-M$ factors in (2.21) should be replaced with $N-q^{-1}M$ . Then, above (2.27) the statement should read ‘the radial variation of $N-q^{-1}M$ is negligible if $1-qN/M\gg Rq^{-1}\unicode[STIX]{x2202}q/\unicode[STIX]{x2202}r$ ’.

In addition, for the superbanana plateau regime (sbp) the evaluation of (3.13) needs to be slightly different than the $\sqrt{\unicode[STIX]{x1D708}}$ regime procedure presented in (3.14) to (3.16). For the sbp regime the boundary layer is at $\unicode[STIX]{x1D705}_{0}^{2}\simeq 0.83$ , rather than the trapped–passing boundary. Therefore, $\unicode[STIX]{x1D702}_{t}$ should be replaced by $\unicode[STIX]{x1D702}_{0}\equiv 2\sin ^{-1}\unicode[STIX]{x1D705}_{0}\simeq 2.3$ in (3.13), (3.14) and (3.15) for the sbp case. As a result, the $\cos [(qn-m)\unicode[STIX]{x03C0}/(qN-M)]$ term in (3.16), (3.18), (7.8), (7.13), (7.14), (7.16) and (7.17) should be replaced by $\cos [(qn-m)\unicode[STIX]{x1D702}_{0}/(qN-M)]$ . For the same reason, $\cos (qn\unicode[STIX]{x03C0})$ must be replaced by $\cos (qn\unicode[STIX]{x1D702}_{0})$ in (7.18) and (7.19).