Estimates of the errors incurred in various asymptotic representations of wave packets

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An earlier paper (Gaster 1981) discussed different asymptotic representations of the isolated wave packet that evolved from an impulsive point excitation of a laminar boundary layer. Comparisons of the various asymptotic representations of the integral describing these packets were made on the basis of numerical evbluations of the various approximations together with the direct numerical solutions of the integral. Here the problem is pursued by analytical means, and error estimates are obtained for the different methods used.