Bohr's radius for polynomials in one complex variable

DOI10.1007/BF03321091zbMath1093.30002MaRDI QIDQ816259

Zdeňka Guadarrama

Publication date: 10 March 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

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) Rate of convergence, degree of approximation (41A25) Polynomials and rational functions of one complex variable (30C10)

Related Items (11)

Estimates for the Bohr radius of a Faber-Green condenser in the complex plane ⋮ Bohr phenomena for Laplace-Beltrami operators ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ On the Bohr Inequality ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ A new approach towards estimating the \(n\)-dimensional Bohr radius ⋮ Sharp Bohr type real part estimates ⋮ Asymptotics of the Bohr radius for polynomials of fixed degree ⋮ Bohr radii of vector valued holomorphic functions ⋮ Bohr's phenomenon for functions on the Boolean cube ⋮ On a family of extremal polynomials

Cites Work

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• ON BOHR'S INEQUALITY
• Bohr’s power series theorem in several variables
• An abstract approach to Bohr’s phenomenon
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Multidimensional analogues of Bohr’s theorem on power series
• Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

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