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

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Let \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.
9 pages, no figures

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Combinatorics, 05A16; 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/124354

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702595
 http://arxiv.org/abs/math/0702595

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arXiv