Roots of polynomials with asymptotically radial root sets move inward under repeated differentiation according to an explicit quantile formula; this paper simplifies the proof and extends it to z^a(d/dz)^b and to fixed m.
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Repeated differentiation of deterministic polynomials with asymptotically radial root distributions
Roots of polynomials with asymptotically radial root sets move inward under repeated differentiation according to an explicit quantile formula; this paper simplifies the proof and extends it to z^a(d/dz)^b and to fixed m.