Article ID Journal Published Year Pages File Type
10325829 Journal of Symbolic Computation 2012 22 Pages PDF
Abstract
A linear (partial) functional system consists of linear partial differential, difference equations or any mixture thereof. We present an algorithm that determines whether linear functional systems are ∂-finite, and transforms ∂-finite systems to fully integrable ones. The algorithm avoids using Gröbner bases in Laurent-Ore modules when ∂-finite systems correspond to finite-dimensional Ore modules.
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Physical Sciences and Engineering Computer Science Artificial Intelligence
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