Asymptotics of Multivariate Sequences, part I. Smooth points of the singular variety

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dc.creatorPemantle, R.
dc.creatorWilson, M. C.
dc.date2000-03-28
dc.date.accessioned2026-07-07T04:34:29Z
dc.date.available2026-07-07T04:34:29Z
dc.descriptionGiven a multivariate generating function F, we determine asymptotics for the coefficients. Our approach is to use Cauchy's integral formula near singular points of F, resulting in a tractable oscillating integral. This paper treats the case where the singular point of F is a smooth point of a surface of poles. Companion papers will treat singular points of F where the local geometry is more complicated, and for which other methods of analysis are not known.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0003192
dc.identifierhttp://arxiv.org/abs/math/0003192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58922
dc.subjectCombinatorics
dc.subjectProbability
dc.subject05A16 (Primary), 32A20, 41A60 (Secondary)
dc.titleAsymptotics of Multivariate Sequences, part I. Smooth points of the singular variety
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