Four-point distortion theorem for complex polynomials

DOI10.1080/17476933.2013.781590zbMath1300.30009arXiv1301.3985OpenAlexW2012414094MaRDI QIDQ5404692

V. N. Dubinin

Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3985

zbMATH Keywords

distortion theoremscritical valuesChebyshev polynomialmodulus of a doubly connected domaincross ratio of four points

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

Distortion and critical values of the finite Blaschke product ⋮ Distortion theorem for complex polynomials ⋮ Unnamed Item ⋮ Critical values and moduli of the derivative of a complex polynomial at its zeros ⋮ On one extremal problem for complex polynomials with constraints on critical values ⋮ Lemniscate zone and distortion theorems for multivalent functions

Cites Work

• Methods of geometric function theory in classical and modern problems for polynomials
• Inequalities for critical values of polynomials

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