On Critical Points of Proper Holomorphic Maps on The Unit Disk

DOI10.1112/S0024609397003706zbMath0921.30018arXivmath/9606221OpenAlexW2037211374MaRDI QIDQ4354185

Saeed Zakeri

Publication date: 14 September 1997

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

Full work available at URL: https://arxiv.org/abs/math/9606221

zbMATH Keywords

Schwarz lemmacritical pointBlaschke productPoincaré metricfinite Blaschke product

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geometric function theory (30C99)

Related Items (11)

Computing polynomial conformal models for low-degree Blaschke products ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Maximal univalent disks of real rational functions and Hermite-Biehler polynomials ⋮ Finite Blaschke products with prescribed critical points, Stieltjes polynomials, and moment problems ⋮ Decomposing finite Blaschke products ⋮ Quotients of kernel functions and post-composition ⋮ Monotonicity of entropy for real multimodal maps ⋮ Unicritical Blaschke products and domains of ellipticity ⋮ Critical Points, the Gauss Curvature Equation and Blaschke Products ⋮ Polynomials Versus Finite Blaschke Products

This page was built for publication: On Critical Points of Proper Holomorphic Maps on The Unit Disk