Search for Liouvillian solutions of linear recurrence equations in the MAPLE computer algebra system
DE Khmelnov - Programming and Computer Software, 2008 - Springer
DE Khmelnov
Programming and Computer Software, 2008•SpringerSearch for Liouvillian Solutions of Linear Recurrence Equations in the MAPLE Computer
Algebra System Page 1 ISSN 0361-7688, Programming and Computer Software, 2008, Vol. 34,
No. 4, pp. 204–209. © Pleiades Publishing, Ltd., 2008. Original Russian Text © DE Khmelnov,
2008, published in Programmirovanie, 2008, Vol. 34, No. 4. 204 1. INTRODUCTION Solutions
in the form of Liouvillian sequences generalize solutions in the form of hypergeometric
sequences and describe a wide class of solutions of the following equation: Ly = 0, (1) where …
Algebra System Page 1 ISSN 0361-7688, Programming and Computer Software, 2008, Vol. 34,
No. 4, pp. 204–209. © Pleiades Publishing, Ltd., 2008. Original Russian Text © DE Khmelnov,
2008, published in Programmirovanie, 2008, Vol. 34, No. 4. 204 1. INTRODUCTION Solutions
in the form of Liouvillian sequences generalize solutions in the form of hypergeometric
sequences and describe a wide class of solutions of the following equation: Ly = 0, (1) where …
Abstract
The paper considers implementation of the Singer-Hendriks algorithm in the MAPLE computer algebra system. The algorithm finds Liouvillian solutions of linear recurrence equations with coefficients in the form of rational functions.
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