3 papers
math.CV2025
An norm inequality related to extremal polynomials
Abdelhamid Rehouma, Herry Pripawanto Suryawan
Let be a Jordan rectifiable curve in the complex plane and let be the bounded component of . Now let , and let 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.
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 -polar polynomials on the unit circle; in particular we obtain a ring shaped region containing all the zeros of these polynomial…