On Ilieff's conjecture

DOI10.1007/BF01178761zbMath0346.30004WikidataQ123113594 ScholiaQ123113594MaRDI QIDQ1233517

Gerhard Schmeisser

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172577

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)

Related Items (9)

On the zeros of the derivative of a rational function ⋮ A result related to the Sendov conjecture ⋮ On the zeros of a polynomial and its derivative ⋮ On the Sendov Conjecture for Sixth Degree Polynomials ⋮ Maximal Polynomials and the Ilieff-Sendov Conjecture ⋮ On the Derivative with Respect to a Point ⋮ Extremal Problems for Polynomials in the Complex Plane ⋮ Proof of the Sendov conjecture for polynomials of degree at most eight ⋮ On the zeros of a polynomial and its derivatives

Cites Work

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• Über Polynome mit nur reellen Nullstellen der Ableitung
• On a problem of Ilyeff
• Bemerkungen zu einer Vermutung von Ilieff
• On Ilyeff's conjecture
• On polynomials whose zeros are in the unit disk
• Zur Lage der kritischen Punkte eines Polynoms. (The position of critical points of a polynomial)
• Much Ado About Nothing
• Zur Lage der Nullstellen von Polynomen.
• On the Zeros of a Polynomial and its Derivative
• A Note on the Location of Critical Points of Polynomials
• Angular Value Distribution of Power Series with Gaps
• Some properties of extremal polynomials for the Ilieff conjecture
• On the zeros of a polynomial and its derivative
• On the zeros of a polynomial and its derivative

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