The Bohr phenomenon for analytic functions on shifted disks

DOI10.54330/afm.112561zbMath1482.30024arXiv2011.13890OpenAlexW3217171477MaRDI QIDQ5016777

Vasudevarao Allu, Himadri Halder, Molla Basir Ahamed

Publication date: 14 December 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13890

zbMATH Keywords

simply connected domainbounded analytic functionsBohr radius

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (11)

Operator valued analogues of multidimensional Bohr’s inequality ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Bohr operator on operator-valued polyanalytic functions on simply connected domains ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ Bohr inequalities for certain classes of harmonic mappings ⋮ 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 ⋮ A generalization of the Bohr inequality and its applications ⋮ A generalization of the Bohr-Rogosinski sum ⋮ Bohr-Rogosinski type inequalities for concave univalent 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
• Bohr-Rogosinski inequalities for bounded analytic functions
• Improved Bohr's inequality for locally univalent harmonic mappings
• Bohr's inequalities for the analytic functions with lacunary series and harmonic functions
• Remarks on the Bohr phenomenon
• Improved Bohr's inequality for shifted disks
• Sharp Bohr type inequality
• Refined Bohr-type inequalities with area measure for bounded analytic functions
• Bohr radius for certain classes of starlike and convex univalent functions
• On the Bohr inequality for the Cesáro operator
• Bohr phenomenon for certain subclasses of harmonic mappings
• Refined Bohr inequality for bounded analytic functions
• Bohr radius for subordinating families of analytic functions and bounded harmonic mappings
• Bohr radius for classes of analytic functions
• Bohr's phenomenon for analytic functions and the hyperbolic metric
• Bohr's phenomenon in subordination and bounded harmonic classes
• Generalization of results about the Bohr radius for power series
• The Bohr radius for starlike logharmonic mappings
• Sur un théorême de H. Bohr.
• Bohr’s power series theorem in several variables
• On a powered Bohr inequality
• Bohr radius for locally univalent harmonic mappings
• 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
• On the Bohr inequality with a fixed zero coefficient
• The Bohr inequality in the hyperbolic plane
• Multidimensional analogues of refined Bohr’s inequality
• Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables

This page was built for publication: The Bohr phenomenon for analytic functions on shifted disks