Hermite Reduction for D-finite Functions via Integral Bases

Published 9 Feb 2023 in cs.SC | (2302.04652v1)

Abstract: Trager's Hermite reduction solves the integration problem for algebraic functions via integral bases. A generalization of this algorithm to D-finite functions has so far been limited to the Fuchsian case. In the present paper, we remove this restriction and propose a reduction algorithm based on integral bases that is applicable to arbitrary D-finite functions.

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