This continuing and indeed increasing reliance on special functions is a surprising development in the sociology of our profession. One of the principal applications of these functions was in the compact expression of approximations to physical problems for which explicit analytical solutions could not be found. But since the 1960s, when scientific computing became widespread, direct and “exact” numerical solution of the equations of physics has become available in many cases. It was often claimed that this would make the special functions redundant.
Now, this makes a lot of sense, and given that Berry was around as a researcher since 1965, it is reasonable to take this as a primary-source eyewitness account, but I would like to get a bit more flavour for the zeitgeist that Berry depicts in this paragraph (i.e., that the emergence of electronic computers would make special functions obsolete, with direct numerical solution of the problems replacing the special-function corpus). Is there a good primary source from the time showing this view, or (even better) a good review of the development of the viewpoint?