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

Abstract : 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.
Keywords :
Type de document :
Communication dans un congrès
Jacquet, Philippe. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), pp.485-496, 2007, DMTCS Proceedings
Domaine :

Littérature citée [13 références]

https://hal.inria.fr/hal-01184779
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 16:59:19
Dernière modification le : jeudi 11 mai 2017 - 01:02:50
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 12:15:54

Fichier

dmAH0133.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

• HAL Id : hal-01184779, version 1

Citation

Alexander Raichev, Mark C. Wilson. A new method for computing asymptotics of diagonal coefficients of multivariate generating functions. Jacquet, Philippe. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), pp.485-496, 2007, DMTCS Proceedings. 〈hal-01184779〉

Métriques

Consultations de la notice

74

Téléchargements de fichiers