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TitleAn algorithm of computing inhomogeneous differential equations for definite integrals.
Author(s) Hiromasa Nakayama, Kenta Nishiyama
TypeBook, Chapter in Book, Conference Proceeding
AbstractWe 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.
Keywordsintegration algorithm, holonomic functions, D-module, Gröbner basis
ISBN978-3-642-15581-9/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-642-15582-6_39
LanguageEnglish
Pages221--232
PublisherBerlin: Springer
Year2010
Edition0
Translation No
Refereed No
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