About multipoint distortion theorems for rational functions

DOI10.1134/S0037446620010073zbMath1442.30006OpenAlexW3007717746MaRDI QIDQ2191342

Sergeĭ Ivanovich Kalmykov

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0037446620010073

zbMATH Keywords

rational functionsunivalent functionsBernstein-type inequalitiesmultipoint distortion theorems

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items

Application of upper estimates for products of inner radii to distortion theorems for univalent functions ⋮ Some remarks on rotation theorems for complex polynomials ⋮ Sharp inequalities for rational functions on a circle ⋮ Generalizations of some inequalities for rational functions with prescribed poles and restricted zeros ⋮ Inequalities concerning rational functions in the complex domain

Cites Work

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• On some rational functions that are analogs of the Chebyshev polynomials
• Some applications of Dubinin's lemma to rational functions with prescribed poles
• Application of conformal mappings to inequalities for polynomials
• Inequalities for Rational Functions With Prescribed Poles
• Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
• Sharp extensions of Bernstein's inequality to rational spaces
• On an application of conformal maps to inequalities for rational functions
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition

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