Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex

DOI10.1007/s00025-023-01953-zzbMath1520.30002OpenAlexW4382940133MaRDI QIDQ6133310

Sabir Ahammed, Molla Basir Ahamed

Publication date: 24 July 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01953-z

zbMATH Keywords

convex functionBohr inequalityBohr-Rogosinski inequality

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces of bounded analytic functions of one complex variable (30H05) Inequalities in the complex plane (30A10)

Related Items (1)

Bohr inequalities for certain classes of harmonic mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the Bohr and Rogosinski phenomena for power series
• New inequalities for the coefficients of unimodular bounded functions
• Bohr-Rogosinski inequalities for bounded analytic functions
• Improved version of Bohr's inequality
• Bohr phenomenon for subordinating families of certain univalent functions
• Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators
• Improved Bohr's inequality for shifted disks
• Bohr-type inequality via proper combination
• Bohr radius for certain classes of close-to-convex harmonic mappings
• Refinements of the Bohr and Rogosinski phenomena
• Bohr phenomenon for certain classes of harmonic mappings
• Bohr-Rogosinski type inequalities for concave univalent functions
• Bohr's phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings
• Sharp Bohr type inequality
• Refined Bohr-type inequalities with area measure for bounded analytic functions
• Bohr inequalities in some classes of analytic functions
• Bohr type inequalities for functions with a multiple zero at the origin
• Improved Bohr's phenomenon in quasi-subordination classes
• Bohr phenomenon for certain subclasses of harmonic mappings
• Refined Bohr inequality for bounded analytic functions
• Bohr inequalities for certain integral operators
• Bohr phenomenon for locally univalent functions and logarithmic power series
• Bohr radius for classes of analytic functions
• Bohr and Rogosinski abscissas for ordinary Dirichlet series
• A Bohr Phenomenon For Elliptic Equations
• Bohr's phenomenon in subordination and bounded harmonic classes
• ON BOHR'S INEQUALITY
• EXTENSIONS OF BOHR'S INEQUALITY
• Sur un théorême de H. Bohr.
• Bohr’s power series theorem in several variables
• On a powered Bohr inequality
• On the Rogosinski radius for holomorphic mappings and some of its applications
• Bohr’s inequality for uniform algebras
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• Bohr property of bases in the space of entire functions and its generalizations
• Multidimensional analogues of Bohr’s theorem on power series
• The Bohr phenomenon for analytic functions on shifted disks
• Bohr’s inequality for non-commutative Hardy spaces
• On the Bohr inequality with a fixed zero coefficient
• On the Bohr Inequality
• The Bohr inequality in the hyperbolic plane
• Multidimensional analogues of refined Bohr’s inequality
• Improved Bohr inequalities for certain class of harmonic univalent functions
• The Bohr-type operator on analytic functions and sections
• Operator valued analogues of multidimensional Bohr’s inequality

This page was built for publication: Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex