About the Series This series is designed to capture new developments and summarize what
is known over the entire field of mathematics, both pure and applied. It will include a broad …

We introduce a category of possibly irregular holonomic D-modules which can be endowed
in a canonical way with an irregular Hodge filtration. Mixed Hodge modules with their Hodge …

Let I be a non-zero left ideal of the Weyl algebra A n of order n over a field k and let L: R
2n→ R be a linear form defined by L (α, β)=∑ i= 1ne iα i+∑ i= 1nf iβ i. If e i+ fi≥ 0, then L …

In this paper, we associate with any monogeneous module over the ring D of germs of linear
differential operators at the origin of C n, with holomorphic coefficients, a combinatorial …

Let f1,..., fpbe polynomials in n variables with coefficients in a fieldK. We associate with these
polynomials a number of functional equations and related ideals B, Bjand BΣ ofK [s1,..., sp] …

Dans ce cours, nous exposons les résultats de base sur le foncteur image inverse en théorie
des D-modules. Apres quelques généralités, nous donnons les premiers résultats dans le …

We extend to the analytic D-module case our results in the algebraic case (see [3]), namely,
we associate with any monogeneous module over the ring D of germs of linear differential …

Noncommutative Computer Algebra with Applications in Algebraic Analysis Page 1
Noncommutative Computer Algebra with Applications in Algebraic Analysis Von der …

We develop some basic results on modules over the Weyl algebra including the existence of
the Bernstein polynomial and the relationship between logarithmic modules and the so …

Journal of Symbolic Computation Algorithm computing the local b function by an approximate
division algorithm in ˆD Page 1 Journal of Symbolic Computation 44 (2009) 449–462 Contents …