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math.PR2026
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 , where is a deterministic p…
math.PR2025
Asymptotic root distribution of polynomials under repeated polar differentiation
Daniel Perales, Zhiyuan Yang
Given a sequence of real rooted polynomials with a fixed asymptotic root distribution, we study the asymptotic root distribution of the repeated polar derivativ…