ABSTRACT

Owing to the choice of a and b, the function f(a, w) is analytic at w,(a) and wz(a) when a # d , and at the confluence of these points when a = 62. For large x, I(a,x) is approximated by the corresponding integral with f (a, w) replaced by a constant, that is, by an Airy or Scorer function, depending on the path 1. In essence, this is the method of Chester, Friedman, and Ursell (1957). In the next two sections we illustrate its use and indicate its scope by means of an example and exercises. In