English

Hurwitz rational functions

Classical Analysis and ODEs 2025-07-01 v1 Complex Variables Spectral Theory

Abstract

A generalization of Hurwitz stable polynomials to real rational functions is considered. We establishe an analogue of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a generalization of the Hurwitz determinants.

Keywords

Cite

@article{arxiv.1010.0784,
  title  = {Hurwitz rational functions},
  author = {Yury S. Barkovsky and Mikhail Tyaglov},
  journal= {arXiv preprint arXiv:1010.0784},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-21T16:23:49.113Z