Remarks on the Obrechkoff inequality

DOI10.1090/proc/12738zbMath1337.30005arXiv1409.4849OpenAlexW1842428226MaRDI QIDQ2789867

Alexander Fryntov, Alexandre Eremenko

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4849

zbMATH Keywords

polynomialslogarithmic potential

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (4)

Distribution of zeros of polynomials with positive coefficients ⋮ Characterization of polynomials whose large powers have fully positive coefficients ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ Central limit theorems from the roots of probability generating functions

Uses Software

• MathOverflow

Cites Work

• Large Deviations for Zeros of Random Polynomials with i.i.d. Exponential Coefficients
• Distribution of zeros of polynomials with positive coefficients
• Polynomials with Nonnegative Coefficients

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