Bohr's phenomenon for analytic functions and the hyperbolic metric

DOI10.1002/MANA.201200197zbMath1293.30007OpenAlexW1546770649MaRDI QIDQ2852443

Yusuf Abu Muhanna, Rosihan Mohamed Ali

Publication date: 8 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200197

zbMATH Keywords

subordinationconvex domainhyperbolic metricBohr's inequality

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10)

Related Items (19)

The Bohr-type operator on analytic functions and sections ⋮ Bohr-Rogosinski inequalities for bounded analytic functions ⋮ Bohr-type inequalities for bounded analytic functions of Schwarz functions ⋮ Bohr's inequalities for the analytic functions with lacunary series and harmonic functions ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ On the Bohr Inequality ⋮ Bohr inequality for odd analytic functions ⋮ Bohr-type inequalities for unimodular bounded analytic functions ⋮ A generalization of the Bohr inequality and its applications ⋮ Refined Bohr-type inequalities with area measure for bounded analytic functions ⋮ Bohr radius for certain classes of starlike and convex univalent functions ⋮ A note on Bohr's phenomenon for power series ⋮ Bohr inequalities for certain integral operators ⋮ Bohr’s inequality for non-commutative Hardy spaces ⋮ Bohr-type inequalities for harmonic mappings with a multiple zero at the origin ⋮ The Bohr inequality for holomorphic mappings with lacunary series in several complex variables ⋮ The Bohr phenomenon for analytic functions on shifted disks ⋮ A generalization of the Bohr-Rogosinski sum ⋮ Bohr-Rogosinski type inequalities for concave univalent functions

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• Multidimensional analogues of Bohr’s theorem on power series

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