Bohr-Rogosinski inequalities for bounded analytic functions

DOI10.1134/S1995080220110049zbMath1456.30001arXiv2004.08895OpenAlexW3117727336MaRDI QIDQ828157

Seraj A. Alkhaleefah, Saminathan Ponnusamy, Il'giz R. Kayumov

Publication date: 8 January 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08895

zbMATH Keywords

harmonic mappingsbounded analytic functionsBohr radiusRogosinski radius

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

Improved Bohr inequalities for certain class of harmonic univalent functions ⋮ Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Bohr-Rogosinski phenomenon for \(\mathcal{S}^*(\psi)\) and \(\mathcal{C}(\psi)\) ⋮ Improved Bohr inequality for harmonic mappings ⋮ Bohr type inequality for Cesáro and Bernardi integral operator on simply connected domain ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Sharp Bohr type inequality ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Theory of certain non-univalent analytic functions ⋮ The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ Refined Bohr inequality for bounded analytic functions ⋮ Bohr-type inequality via proper combination ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Some Bohr-type inequalities with one parameter for bounded analytic functions ⋮ The Bohr phenomenon for analytic functions on shifted disks ⋮ On the Bohr's inequality for stable mappings ⋮ A generalization of the Bohr-Rogosinski sum

Cites Work

• Unnamed Item
• Unnamed Item
• A note on Bohr's phenomenon for power series
• Bohr's phenomenon for analytic functions into the exterior of a compact convex body
• Improved Bohr's inequality for locally univalent harmonic mappings
• Bohr's inequalities for the analytic functions with lacunary series and harmonic functions
• Bohr inequality for odd analytic functions
• Bohr phenomenon for subordinating families of certain univalent functions
• Remarks on the Bohr phenomenon
• Bohr-type inequalities of analytic functions
• Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
• A Bohr Phenomenon For Elliptic Equations
• Bohr's phenomenon for analytic functions and the hyperbolic metric
• ON BOHR'S INEQUALITY
• Generalization of results about the Bohr radius for power series
• Bohr’s power series theorem in several variables
• On the Rogosinski radius for holomorphic mappings and some of its applications
• Bohr radius for locally univalent harmonic mappings
• Bohr’s inequality for uniform algebras
• Multidimensional analogues of Bohr’s theorem on power series
• On the Bohr inequality with a fixed zero coefficient

This page was built for publication: Bohr-Rogosinski inequalities for bounded analytic functions