Finding all hypergeometric solutions of linear differential equations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 1993

Finding all hypergeometric solutions of linear differential equations

M. Petkovsek
  • Fonction : Auteur
Bruno Salvy

Résumé

Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkovsek's algorithm to find all hypergeometric sequence solutions of linear recurrences and we describe a program to find all hypergeometric functions that solve a linear differential equation.

Domaines

Autre [cs.OH]
Fichier principal
Vignette du fichier
RR-1907.pdf (294.14 Ko) Télécharger le fichier

Dates et versions

inria-00074766 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00074766 , version 1

Citer

M. Petkovsek, Bruno Salvy. Finding all hypergeometric solutions of linear differential equations. [Research Report] RR-1907, INRIA. 1993. ⟨inria-00074766⟩
41 Consultations
171 Téléchargements

Partager

Gmail Facebook X LinkedIn More