The Bohr radius and its modifications for linearly invariant families of analytic functions

DOI10.1016/j.jmaa.2023.128039zbMath1530.30003OpenAlexW4389720088MaRDI QIDQ6180483

Saminathan Ponnusamy, E. S. Shmidt, Victor V. Starkov

Publication date: 19 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128039

zbMATH Keywords

Bloch functionsBohr radiuslinearly invariant family

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Holomorphic functions of several complex variables (32A10)

Cites Work

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• A note on Bohr's phenomenon for power series
• A proof of the Bieberbach conjecture
• Bohr's inequalities for the analytic functions with lacunary series and harmonic functions
• On normal and automorphic functions
• Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators
• The Bohr inequality for the generalized Cesáro averaging operators
• The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables
• Linear-invariante Familien analytischer Funktionen. I
• Linear spaces and linear-invariant families of locally univalent analytic functions
• Bohr’s power series theorem in several variables
• Bohr radius for locally univalent harmonic mappings
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Multidimensional analogues of Bohr’s theorem on power series
• Dirichlet Series and Holomorphic Functions in High Dimensions

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