A. Rehouma

collaborators

Showing math.CVShow all

4 papers · 1 filter

math.CV2025

Orthogonality of polar Legendre polynomials and approximation

Abdelhamid Rehouma

Let ${Q_{n} (x)}$ be a system of integral Legendre polynomials of degree exactly n,and let ${P_{n} (x)}$ be polar polynomials primitives of integral Legendre polynomials. We deri…

math.CV2025

Counting methods of area integrals and Tchebychev polynomials of second kind on the ellipse

Abdelhamid Rehouma

We use Gronwall's area formula to find the area of some differents regions as circles, ellipses and lemniscates.We use Laurent and Taylor series expansions of conformal mapping fro…

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…

Orthogonality of polar Legendre polynomials and approximation

Counting methods of area integrals and Tchebychev polynomials of second kind on the ellipse

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