arXiv Open Access 2023

Hermite Reduction for D-finite Functions via Integral Bases

Shaoshi Chen Lixin Du Manuel Kauers

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Abstrak

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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cs.SC

Penulis (3)

Shaoshi Chen

Lixin Du

Manuel Kauers

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Chen, S., Du, L., Kauers, M. (2023). Hermite Reduction for D-finite Functions via Integral Bases. https://arxiv.org/abs/2302.04652

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓