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Hermite Reduction for D-finite Functions via Integral Bases

02/09/2023

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by Shaoshi Chen, et al.

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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.

Shaoshi Chen
18 publications
Lixin Du
6 publications
Manuel Kauers
30 publications

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