An algorithm of computing inhomogeneous differential equations for definite integrals

Details An algorithm of computing inhomogeneous differential equations for definite integrals An algorithm of computing inhomogeneous differential equations for definite integrals

2010-05-19

arxiv.org/abs/1005.3417v2

Mathematics

Algebraic Geometry

12 pages, 1 table

Scientific paper

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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