Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators

DOI10.1016/J.JMAA.2020.124824zbMath1461.30008OpenAlexW3108171573MaRDI QIDQ1997223

Diana M. Khammatova, Saminathan Ponnusamy, Il'giz R. Kayumov

Publication date: 1 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124824

zbMATH Keywords

bounded analytic functionsBohr radiusRogosinski radiusCesáro operators

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Spaces of bounded analytic functions of one complex variable (30H05) Inequalities in the complex plane (30A10)

Related Items (14)

Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Bohr-Rogosinski phenomenon for \(\mathcal{S}^*(\psi)\) and \(\mathcal{C}(\psi)\) ⋮ Bohr's inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces ⋮ 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 ⋮ Theory of certain non-univalent analytic 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 ⋮ Bohr radius for pluriharmonic mappings in separable complex Hilbert spaces ⋮ The Bohr radius and its modifications for linearly invariant families of analytic functions ⋮ On the Bohr's inequality for stable mappings ⋮ A generalization of the Bohr-Rogosinski sum ⋮ Bohr-Rogosinski type inequalities for concave univalent functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bohr's phenomenon for analytic functions into the exterior of a compact convex body
• Bohr inequality for odd analytic functions
• On the Bohr inequality for the Cesáro operator
• Improved Bohr's phenomenon in quasi-subordination classes
• Bohr's phenomenon in subordination and bounded harmonic classes
• Generalization of results about the Bohr radius for power series
• Finite Blaschke Products and Their Connections
• On the Rogosinski radius for holomorphic mappings and some of its applications

This page was built for publication: Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators