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Chapter 25: The vanishing saddle point
https://doi.org/10.1142/9789814612166_0025Cited by:0 (Source: Crossref)
Abstract: 

with ℜλ > 0 and z large, in which λ may also be large. In Watson's lemma for this type of integral, see §2.1, z is the large parameter, and λ is assumed to be fixed. When λ is not fixed (say, λ depends on z) the expansion in (2.1.4) may become invalid…
We consider Laplace-type integrals of the form

