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On polynomials with a prescribed zero on a quasicircle

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Publication:934544
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DOI10.1007/BF03321686zbMath1158.30004MaRDI QIDQ934544

Stephan Ruscheweyh, Vladimir V. Andrievskii

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)


zbMATH Keywords

zerosquasiconformal curvepolynomial


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) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)


Related Items

Polynomials with prescribed zeros on an analytic curve, Polynomials with zeros and small norm on curves



Cites Work

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  • On the minimum moduli of normalized polynomials with two prescribed values
  • On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
  • The maximal range problem for a quasidisk.
  • On results of Ahlfors and Hayman
  • Some Inequalities for Polynomials With a Prescribed Zero
  • An Extremal Problem for Polynomials with a Prescribed Zero. II
  • An Extremal Problem for Polynomials with a Prescribed Zero
  • Problems in Complex Function Theory
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