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arXiv · 1005.3417

An algorithm of computing inhomogeneous differential equations for definite integrals

Hiromasa Nakayama·Kenta Nishiyama
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Abstract

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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Hiromasa Nakayama, Kenta Nishiyama. 2010-05-19. An algorithm of computing inhomogeneous differential equations for definite integrals. https://arxiv.org/abs/1005.3417

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