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Nakayama, Hiromasa; Nishiyama, Kenta (2010)
Languages: English
Types: Preprint
Subjects: Mathematics - Classical Analysis and ODEs, Mathematics - Algebraic Geometry

Classified by OpenAIRE into

arxiv: Mathematics::Commutative Algebra
ACM Ref: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
We give an algorithm to compute inhomogeneous differential equations for definite integrals with parameters. The algorithm is based on the integration algorithm for $D$-modules by Oaku. Main tool in the algorithm is the Gr\"obner basis method in the ring of differential operators.

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