Geometric function theory and Smale's mean value conjecture

DOI10.3792/pjaa.82.97zbMath1113.30006OpenAlexW1973132543WikidataQ123345131 ScholiaQ123345131MaRDI QIDQ883658

Ege Fujikawa, Toshiyuki Sugawa

Publication date: 6 June 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1160485505

zbMATH Keywords

critical pointunivalent functionpolynomialhyperbolic density

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Polynomials and rational functions of one complex variable (30C10) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (9)

Some inequalities for polynomials and rational functions associated with lemniscates ⋮ Extremal problems in geometric function theory ⋮ SMALE’S PROBLEM FOR CRITICAL POINTS ON CERTAIN TWO RAYS ⋮ Smale's mean value conjecture for finite Blaschke products ⋮ Dual mean value problem for complex polynomials ⋮ Extremal polynomials in Smale's mean value conjecture ⋮ On the dual mean-value conjecture for complex polynomials ⋮ On critical values of polynomials with real critical points ⋮ Polynomials Versus Finite Blaschke Products

Cites Work

• Critical points and values of complex 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
• The fundamental theorem of algebra and complexity theory
• Smale's mean value conjecture for odd polynomials
• Smale’s mean value conjecture and the coefficients of univalent functions
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