A new method for computing asymptotics of diagonal coefficients of multivariate generating functions - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2007

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

Résumé

Let $\sum_{\mathbf{n} \in \mathbb{N}^d} F_{\mathbf{n}} \mathbf{x}^{\mathbf{n}}$ be a multivariate generating function that converges in a neighborhood of the origin of $\mathbb{C}^d$. We present a new, multivariate method for computing the asymptotics of the diagonal coefficients $F_{a_1n,\ldots,a_dn}$ and show its superiority over the standard, univariate diagonal method. Several examples are given in detail.
Fichier principal
Vignette du fichier
dmAH0133.pdf (234.11 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01184779 , version 1 (17-08-2015)

Identifiants

Citer

Alexander Raichev, Mark C. Wilson. A new method for computing asymptotics of diagonal coefficients of multivariate generating functions. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. pp.485-496, ⟨10.46298/dmtcs.3531⟩. ⟨hal-01184779⟩

Collections

TDS-MACS
157 Consultations
687 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More