MultivariateApart: Generalized Partial Fractions

Abstract

We present a package to perform partial fraction decompositions of multivariate rational functions. The algorithm allows to systematically avoid spurious denominator factors and is capable of producing unique results also when being applied to terms of a sum separately. The package is designed to work in Mathematica, but also provides interfaces to the Form and Singular computer algebra systems.

Comments: 30 pages, 2 tables, code available at https://gitlab.msu.edu/vmante/multivariateapart