Repeated differentiation of deterministic polynomials with asymptotically radial root distributions

Brian C. Hall, Daniel Perales

Recent works of Galligo, Najnudel, and Vu (2025) and Najnudel and Vu (2026) study repeated differentiation for polynomials of the form $P(z)=p(z^m)$, where $p$ is a deterministic p…