Finding all hypergeometric solutions of linear differential equations

M. Petkovsek Bruno Salvy 1
1 ALGO - Algorithms
Inria Paris-Rocquencourt
Abstract : 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.
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Rapport
[Research Report] RR-1907, INRIA. 1993
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https://hal.inria.fr/inria-00074766
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Soumis le : mercredi 24 mai 2006 - 16:16:01
Dernière modification le : vendredi 25 mai 2018 - 12:02:02
Document(s) archivé(s) le : mardi 12 avril 2011 - 19:15:07

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M. Petkovsek, Bruno Salvy. Finding all hypergeometric solutions of linear differential equations. [Research Report] RR-1907, INRIA. 1993. 〈inria-00074766〉

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