Sharp bounds for some segments of bounded power series
Complex Variables
2025-07-08 v1
Abstract
We obtain sharp upper bounds for three-term segments of a bounded power series. Along the way we show that the Taylor polynomials of a certain algebraic function do not vanish in the unit disk.
Cite
@article{arxiv.2507.04544,
title = {Sharp bounds for some segments of bounded power series},
author = {Leonid V. Kovalev},
journal= {arXiv preprint arXiv:2507.04544},
year = {2025}
}