Abstract: Over an algebraically closed field of positive characteristic, there exist rational functions with extreme ramification: only one critical point. We give an elementary characterization of ...

Abstract: The interpolation of transfer functions in the spectral domain is an important issue in the EMC simulation of complex systems. Rational functions provide a good approximation for a wide ...

This repository contains benchmarks to compare different algorithms for rational function reconstruction implemented in rare. See data/Readme.md for more information on the sample rational functions.

From the Maclaurin expansion of a function f̄(p) of the Laplace transform operator p, rational function approximations to f̄(p) are generated by means of a new nonlinear sequence to sequence ...

Extending a result of Khavinson and $\acute{S}wi\cedil{a}tek$ (2003) we show that the rational harmonic function $\overline {r(z)} - z$, where r(z) is a rational function of degree n > 1, has no more ...

Add a description, image, and links to the rational-function topic page so that developers can more easily learn about it.