The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables

DOI10.1007/s10473-023-0105-8OpenAlexW4306681213MaRDI QIDQ2088146

Saminathan Ponnusamy, Rouyuan Lin, Ming-Sheng Liu

Publication date: 21 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0105-8

zbMATH Keywords

lacunary seriesalternating serieshigh-dimensional spaceBohr radius

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Power series (including lacunary series) in one complex variable (30B10) Holomorphic functions of several complex variables (32A10) Inequalities in the complex plane (30A10)

Related Items (4)

Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr inequalities for certain classes of harmonic mappings ⋮ Estimate on the Bloch constant for certain harmonic mappings under a differential operator ⋮ The Bohr radius and its modifications for linearly invariant families of analytic functions

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