Asymptotic expansions of oscillatory integrals with complex phase

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dc.creatorPemantle, Robin
dc.creatorWilson, Mark
dc.date2009-03-20
dc.date.accessioned2026-07-07T12:54:52Z
dc.date.available2026-07-07T12:54:52Z
dc.descriptionWe consider saddle point integrals in d variables whose phase function is neither real nor purely imaginary. Results analogous to those for Laplace (real phase) and Fourier (imaginary phase) integrals hold whenever the phase function is analytic and nondegenerate. These results generalize what is well known for integrals of Laplace and Fourier type. The method is via contour shifting in complex d-space. This work is motivated by applications to asymptotic enumeration.
dc.identifierhttps://arxiv.org/abs/0903.3585
dc.identifierhttp://arxiv.org/abs/0903.3585
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224082
dc.subjectCombinatorics
dc.subject41A60
dc.titleAsymptotic expansions of oscillatory integrals with complex phase
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