English

Residues of skew rational functions

Rings and Algebras 2021-06-18 v2 Symbolic Computation

Abstract

This paper constitutes a first attempt to do analysis with skew polynomials. Precisely, our main objective is to develop a theory of residues for skew rational functions (which are, by definition, the quotients of two skew polynomials). We prove in particular a skew analogue of the residue formula and a skew analogue of the classical formula of change of variables for residues.

Keywords

Cite

@article{arxiv.1908.08430,
  title  = {Residues of skew rational functions},
  author = {Xavier Caruso},
  journal= {arXiv preprint arXiv:1908.08430},
  year   = {2021}
}
R2 v1 2026-06-23T10:54:22.914Z