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An algorithm of computing inhomogeneous differential equations for definite integrals

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2010) 6327 LNCS 221-232
DOI: 10.1007/978-3-642-15582-6_39
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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 Gröbner basis method in the ring of differential operators. © 2010 Springer-Verlag.

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Nakayama, H., & Nishiyama, K. (2010). An algorithm of computing inhomogeneous differential equations for definite integrals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6327 LNCS, pp. 221–232). https://doi.org/10.1007/978-3-642-15582-6_39

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