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Integral D-Finite Functions (1501.03691v2)
Published 15 Jan 2015 in cs.SC and math.RA
Abstract: 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.