Abstract
Abstract Asymptotic methods for integrals have long been used to approximate the special functions of mathematical physics that have integral representations. Two of the most common techniques are the Laplace method and the method of steepest descent or saddle-point method. In this chapter we will describe the essence of these methods so that they can be used in applications. For a more complete treatment, see for example, de Bruijn (1981), Murray (1984), Bleistein and Handelsman (1986) and Wong (1989).
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