Geodesic
Generalization of Watson's Lemma
Canadian journal of mathematics, Tome 24 (1972) no. 2, pp. 185-208

Voir la notice de l'article provenant de la source Cambridge University Press

Many functions, F(z), have integral representations of the form 1.1 the so-called Laplace transform of f(t). When f(t) satisfies certain regularity conditions, it is possible to use Cauchy's theorem to deform the contour so that F(z) has the integral representation 1.2 where 7 is a fixed real number, and the path of integration is the straight line joining t = 0 to t = ∞ etr , small indentations in the path of integration being allowed to avoid singularities of f(t) where necessary. When the two functions defined by (1.1) and (1.2) are not the same, (1.2) provides the more general situation for a theoretical discussion of the properties of F(z). 
Wong, R.; Wyman, M. Generalization of Watson's Lemma. Canadian journal of mathematics, Tome 24 (1972) no. 2, pp. 185-208. doi: 10.4153/CJM-1972-016-0
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