An algorithm of computing inhomogeneous differential equations for definite integrals
Algebraic Geometry
2010-07-15 v2 Classical Analysis and ODEs
Abstract
We give an algorithm to compute inhomogeneous differential equations for definite integrals with parameters. The algorithm is based on the integration algorithm for -modules by Oaku. Main tool in the algorithm is the Gr\"obner basis method in the ring of differential operators.
Cite
@article{arxiv.1005.3417,
title = {An algorithm of computing inhomogeneous differential equations for definite integrals},
author = {Hiromasa Nakayama and Kenta Nishiyama},
journal= {arXiv preprint arXiv:1005.3417},
year = {2010}
}
Comments
12 pages, 1 table