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Chapitre D'ouvrage Année : 2021

Differential Galois Theory and Integration

Résumé

In this chapter, we present methods to simplify reducible linear differential systems before solving. Classical integrals appear naturally as solutions of such systems. We will illustrate the methods developed in [DW19] on several examples to reduce the differential system. This will give information on potential algebraic relations between integrals.
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Dates et versions

hal-03357833 , version 1 (29-09-2021)

Identifiants

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Thomas Dreyfus, Jacques-Arthur Weil. Differential Galois Theory and Integration. Johannes Blümlein, Carsten Schneider. Anti-Differentiation and the Calculation of Feynman Amplitudes, Springer International Publishing, pp.145-171, 2021, Texts & Monographs in Symbolic Computation, 978-3-030-80218-9. ⟨10.1007/978-3-030-80219-6_7⟩. ⟨hal-03357833⟩
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