On one extremal problem for complex polynomials with constraints on critical values

DOI10.1134/S003744661401008XzbMath1303.30002OpenAlexW2044740967MaRDI QIDQ467659

V. N. Dubinin

Publication date: 4 November 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661401008x

zbMATH Keywords

symmetrizationcritical valuedistortion theoremChebyshev polynomialMarkov-type inequalities

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (6)

Distortion and critical values of the finite Blaschke product ⋮ Distortion theorem for complex polynomials ⋮ Critical values and moduli of the derivative of a complex polynomial at its zeros ⋮ The logarithmic energy of zeros and poles of a rational function ⋮ Lemniscate zone and distortion theorems for multivalent functions ⋮ Unnamed Item

Cites Work

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• Markov-type inequality and a lower bound for the moduli of critical values of polynomials
• A Markov-type inequality for arbitrary plane continua
• Inequalities for critical values of polynomials
• The fundamental theorem of algebra and complexity theory
• An Extremal Problem for Polynomials
• A new version of circular symmetrization with applications top-valent functions
• Four-point distortion theorem for complex polynomials
• On the derivative of a polynomial

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