A. Rehouma

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math.CV2025

An $L_{p}$ norm inequality related to extremal polynomials

Abdelhamid Rehouma, Herry Pripawanto Suryawan

Let $E$ be a Jordan rectifiable curve in the complex plane and let $G$ be the bounded component of $C \ E$ . Now let $n \in N$ , and let $m_{n, E}$ denote the…

math.CV2024

Localization of zeros of polar polynomials on the unit disc

Roberto S. Costas-Santos, Abdelhamid Rehouma

We derive a useful result about the zeros of the $k$ -polar polynomials on the unit circle; in particular we obtain a ring shaped region containing all the zeros of these polynomial…

An Lp​ norm inequality related to extremal polynomials

Localization of zeros of polar polynomials on the unit disc

An $L_{p}$ norm inequality related to extremal polynomials