A new method for computing asymptotics of diagonal coefficients of multivariate generating functions

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dc.creatorRaichev, Alexander
dc.creatorWilson, Mark C.
dc.date2007-02-20
dc.date.accessioned2026-07-07T07:48:00Z
dc.date.available2026-07-07T07:48:00Z
dc.descriptionLet \sum_{n\in N^d} f_{n_1, ..., n_d} x_1^{n_1}... x_d^{n_d} be a multivariate generating function that converges in a neighborhood of the origin of C^d. We present a new, multivariate method for computing the asymptotics of the diagonal coefficients f_{a_1n,...,a_dn} and show its superiority over the standard, univariate diagonal method.
dc.description9 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0702595
dc.identifierhttp://arxiv.org/abs/math/0702595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124354
dc.subjectCombinatorics
dc.subject05A16; 05A15
dc.titleA new method for computing asymptotics of diagonal coefficients of multivariate generating functions
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