论文信息 - Hadamard expansions for integrals with saddles coalescing with an endpoint

Hadamard expansions for integrals with saddles coalescing with an endpoint

Hadamard expansions are constructed for Laplace-type integrals containing a parameter and an asymptotic variable x, which may be real or complex. These expansions yield a method of hyperasymptotic evaluation that remains valid throughout a range of the parameter corresponding to coalescence of a saddle point with an endpoint of the integration path. Numerical examples are given to illustrate the practical aspects of the computations.

R. B. Paris | D. Kaminski

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