Non-real Zeros of Derivatives of Real Entire Functions and the Pólya-Wiman Conjectures

DOI10.1080/02781070290002912zbMath1021.30026OpenAlexW4254860680WikidataQ122932536 ScholiaQ122932536MaRDI QIDQ3152059

Stephanie Edwards, Simon Hellerstein

Publication date: 22 October 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070290002912

zbMATH Keywords

derivativefinite orderreal entire function

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20)

Related Items (14)

Non-real zeros of derivatives of real meromorphic functions ⋮ Non-real zeroes of real entire derivatives ⋮ Proof of a conjecture of Pólya on the zeros of successive derivatives of real entire functions ⋮ Conservation of the number of zeros of entire functions inside and outside a circle under perturbations ⋮ Zeros of derivatives of meromorphic functions ⋮ On the number of real critical points of logarithmic derivatives and the Hawaii conjecture ⋮ 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 ⋮ Non-real zeros of higher derivatives of real entire functions of infinite order ⋮ Real meromorphic functions and linear differential polynomials ⋮ Solution of a problem of Edwards and Hellerstein ⋮ A transform of finite order entire functions and perturbations of zeros ⋮ On location in a half-plane of zeros of perturbed first order entire functions ⋮ Non-real zeros of linear differential polynomials

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