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.
Indiana University Mathematics Journal , VOLUME =
1 Pith paper cite this work, alongside 264 external citations. Polarity classification is still indexing.
1
Pith paper citing it
264
external citations · OpenAlex
fields
math.PR 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.