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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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https://hal.inria.fr/inria-00074766
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Submitted on : Wednesday, May 24, 2006 - 4:16:01 PM
Last modification on : Thursday, February 3, 2022 - 11:13:59 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 7:15:07 PM

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  • HAL Id : inria-00074766, version 1

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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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