A Note on the Paper "Localization of Zeros of Polar Polynomials on the Unit Disk"
Classical Analysis and ODEs
2025-10-03 v1
Abstract
In this note we show that the only result of [Rocky Mountain J. Math. 54 (2024), no. 4, 995--1004] is nothing more than a misformulated version of an exercise from classical texts, presented with a flawed proof. To place the matter on firmer ground, we provide instead a direct solution of a more general problem.
Cite
@article{arxiv.2510.01703,
title = {A Note on the Paper "Localization of Zeros of Polar Polynomials on the Unit Disk"},
author = {Renato Alvarez-Nodarse and Kenier Castillo},
journal= {arXiv preprint arXiv:2510.01703},
year = {2025}
}
Comments
Comment on arXiv 2409.00156 that has been published in https://doi.org/10.1216/rmj.2024.54.995