On the number of real critical points of logarithmic derivatives and the Hawaii conjecture

DOI10.1007/s11854-011-0011-1zbMath1247.30009arXiv0902.0413OpenAlexW2052472665WikidataQ123189791 ScholiaQ123189791MaRDI QIDQ415758

Mikhail Tyaglov

Publication date: 9 May 2012

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0413

zbMATH Keywords

critical pointsLaguerre-Pólya classHawaii conjecturelogarithmic derivative

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (4)

ON THE NUMBER OF REAL ZEROS OF POLYNOMIALS OF EVEN DEGREE ⋮ Level sets, a Gauss-Fourier conjecture, and a counter-example to a conjecture of Borcea and Shapiro ⋮ On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities ⋮ Problems around polynomials: the good, the bad and the ugly\dots

Cites Work

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• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• Level sets, a Gauss-Fourier conjecture, and a counter-example to a conjecture of Borcea and Shapiro
• Real Wronskian zero of polynomials with nonreal zeros
• Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions
• Zeros of the Wronskian of a polynomial
• Non-real Zeros of Derivatives of Real Entire Functions and the Pólya-Wiman Conjectures
• Linear operators and the distribution of zeros of entire funtions
• Zeros of Derivatives of Entire Functions
• Derivatives of Entire Functions and A Question of Polya

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