Abstract: The current work proposes a direct rational function fitting method, employing cylindrical waves alone, for the accurate evaluation of Sommerfeld integrals for planar multilayered structures ...

This jupyter notebook implements a rational approximation of the Prabhakar function (three parameter Mittag Leffler function). For a detailed discussion of the approximation method, we refer the ...

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.

The Rocky Mountain Journal of Mathematics, Vol. 26, No. 3 (SUMMER 1996), pp. 1183-1197 (15 pages) Suppose F is a polynomial and $\sum\nolimits_{h \geqslant 0} {F\left( {{b_h}} \right)} {X^h}$ ...

Abstract: In this chapter, the authors describe the rational function fitting method (RFFM) and spectral differential equation approximation method (SDEAM), which shift the burden of numerical ...

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 ...

Branched nanostructures represent unique, 3D building blocks for the “bottom-up” paradigm of nanoscale science and technology. Here, we report a rational, multistep approach toward the general ...