A new method for computing asymptotics of diagonal coefficients of multivariate generating functions
组合数学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0702595,
title = {A new method for computing asymptotics of diagonal coefficients of multivariate generating functions},
author = {Alexander Raichev and Mark C. Wilson},
journal= {arXiv preprint arXiv:math/0702595},
year = {2007}
}
备注
9 pages, no figures