MultivariateApart: Generalized partial fractions

• DOI: 10.1016/j.cpc.2021.108174
• Publication Date: 2021-09-27T18:51:28Z
• Authors: Matthias Heller; Andreas von Mante...
• Keywords: Computer Science - Symbolic Computation; High Energy Physics - Theory; FOS: Computer and information sciences; FOS: Physical sciences; Symbolic Computation (cs.SC); 01 natural sciences; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); 0103 physical sciences

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