A. Rehouma

collaborators

4 papers

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.NA2025

Integrals of Legendre polynomials and approximations

Abdelhamid Rehouma

We derive some identities and relations and extremal problems and minimization and Fourier development involving of integral Legendre polynomials.

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

Integrals of Legendre polynomials and approximations

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