SMALE’S PROBLEM FOR CRITICAL POINTS ON CERTAIN TWO RAYS

DOI10.1017/S1446788710000030zbMath1204.30005OpenAlexW2086854016MaRDI QIDQ3560279

Aimo Hinkkanen, Il'giz R. Kayumov

Publication date: 19 May 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788710000030

zbMATH Keywords

polynomialscritical pointsSmale problem

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) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

Some inequalities for polynomials and rational functions associated with lemniscates ⋮ Extremal problems in geometric function theory ⋮ Smale's mean value conjecture for finite Blaschke products ⋮ Polynomials Versus Finite Blaschke Products

Cites Work

• Critical points and values of complex polynomials
• Geometric function theory and Smale's mean value conjecture
• Subordination of polynomials
• Smale's mean value conjecture and the hyperbolic metric
• Extremal polynomials in Smale's mean value conjecture
• Computational Complexity: On the Geometry of Polynomials and a Theory of Cost: II
• Inequalities for critical values of polynomials
• The fundamental theorem of algebra and complexity theory
• Smale’s mean value conjecture and the coefficients of univalent functions
• A bound for Smale's mean value conjecture for complex polynomials

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