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Solving recurrence relations using local invariants

By Yongjae Cha, Mark Van Hoeij and Giles Levy

Abstract

The goal in this paper is to find closed form solutions for linear recurrence equations, by transforming an input equation L to an equation Ls with known solutions. The main problem is how to find a solved equation Ls to which L can be reduced. We solve this problem by computing local data at singularities, data that remains invariant under the transformations used. Categories and Subject Descriptors G.2.1 [Combinatorics]: [Recurrences and difference equations]

Topics: General Terms
Publisher: ACM
Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.307.2688
Provided by: CiteSeerX
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