On some aspects of the Bohr inequality

DOI10.1216/rmj.2021.51.87zbMath1475.30002OpenAlexW3170598661MaRDI QIDQ1981341

Nilanjan Das, Bappaditya Bhowmik

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.87

zbMATH Keywords

subordinationBohr radius

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Power series (including lacunary series) in one complex variable (30B10) Inequalities in the complex plane (30A10)

Related Items (max. 100)

The Bohr-type operator on analytic functions and sections ⋮ Estimates for generalized Bohr radii in one and higher dimensions ⋮ Unnamed Item ⋮ Bohr inequalities for certain integral operators ⋮ Refinements of the Bohr and Rogosinski phenomena ⋮ Bohr-type inequalities with one parameter for bounded analytic functions of Schwarz functions

Cites Work

• 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
• New inequalities for the coefficients of unimodular bounded functions
• Bohr's strip for vector valued Dirichlet series
• On spherically convex univalent functions
• Bohr's inequalities for the analytic functions with lacunary series and harmonic functions
• Bohr inequality for odd analytic functions
• Bohr inequalities for free holomorphic functions on polyballs
• Bohr phenomenon for subordinating families of certain univalent functions
• Bohr's phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings
• Sharp Bohr type inequality
• Bohr phenomenon for locally univalent functions and logarithmic power series
• Majorization by univalent functions
• Bohr's theorem for holomorphic mappings with values in homogeneous balls
• Bohr's phenomenon in subordination and bounded harmonic classes
• ON BOHR'S INEQUALITY
• The hyperbolic metirc and bloch constants for spherically convex regions
• More on Convex Functions of Bounded Type
• Coefficient Bounds for Convex Functions of Bounded Type
• Bohr’s power series theorem in several variables
• Finite Blaschke Products and Their Connections
• Multidimensional analogues of Bohr’s theorem on power series
• Convex Functions of Bounded Type
• On the Bohr inequality with a fixed zero coefficient
• On the Coefficients of Subordinate Functions

This page was built for publication: On some aspects of the Bohr inequality