Critical points and values of complex polynomials

DOI10.1016/0885-064X(89)90019-8zbMath0728.12004OpenAlexW1969285485MaRDI QIDQ804635

David C. Tischler

Publication date: 1989

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0885-064x(89)90019-8

zbMATH Keywords

critical pointscardinalitycomplex polynomialconservative polynomialsmean value conjecture

Mathematics Subject Classification ID

Topological dynamics (37B99) Polynomials and rational functions of one complex variable (30C10) Real and complex fields (12D99)

Related Items

Geometric function theory and Smale's mean value conjecture, Extremal problems in geometric function theory, Integrability of matrices, Blocks of monodromy groups in complex dynamics, 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, Mean value conjectures for rational maps, On critical values of polynomials with real critical points, Inverse spectral problem for normal matrices and the Gauss-Lucas theorem, Conservative polynomials and yet another action of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) on plane trees, Extremal Problems for Polynomials in the Complex Plane, Dual Smale’s mean value conjecture, On the classification of critically fixed rational maps, Catalan numbers and branched coverings by the Riemann sphere, Circle packings, kissing reflection groups and critically fixed anti-rational maps

Cites Work

• A proof of Thurston's topological characterization of rational functions
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• Computational Complexity: On the Geometry of Polynomials and a Theory of Cost: II
• The fundamental theorem of algebra and complexity theory
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