paper

An algorithm of computing inhomogeneous differential equations for definite integrals

arXiv:1005.3417

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 Gröbner basis method in the ring of differential operators.

12 pages, 1 table

An algorithm of computing inhomogeneous differential equations for definite integrals · wovepaper