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arxiv: 1501.03691 · v2 · pith:AQKSJINGnew · submitted 2015-01-15 · 💻 cs.SC · math.RA

Integral D-Finite Functions

classification 💻 cs.SC math.RA
keywords integralalgorithmalgebraicanalogclosurecomputingdifferentialfields
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We propose a differential analog of the notion of integral closure of algebraic function fields. We present an algorithm for computing the integral closure of the algebra defined by a linear differential operator. Our algorithm is a direct analog of van Hoeij's algorithm for computing integral bases of algebraic function fields.

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