Critical values and moduli of the derivative of a complex polynomial at its zeros

DOI10.1007/s10958-017-3503-4zbMath1380.30005OpenAlexW2743040733MaRDI QIDQ1683411

V. N. Dubinin

Publication date: 8 December 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3503-4

zbMATH Keywords

Chebyshev polynomialproducts of critical values

Mathematics Subject Classification ID

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

Cites Work

• Markov-type inequality and a lower bound for the moduli of critical values of polynomials
• On one extremal problem for complex polynomials with constraints on critical values
• Metric properties of polynomials
• Circular symmetrization of condensers on Riemann surfaces
• Four-point distortion theorem for complex polynomials