The Bohr phenomenon for analytic functions on shifted disks
Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder
Abstract
In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \(\Omega_{\gamma}=\bigg\{z\in\mathbb{C} \colon \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}\) for \(0\leq \gamma<1.\) We study improved Bohr radius, Bohr-Rogosinski radius and refined Bohr radius for the class of analytic functions defined in \(\Omega_{\gamma}\), and obtain several sharp results.
Topics & Concepts
Bohr radiusBohr modelRADIUSOmegaPhysicsClass (philosophy)PhenomenonDomain (mathematical analysis)Mathematical physicsMathematicsQuantum mechanicsMathematical analysisPhilosophyComputer scienceComputer securityEpistemologyQuantum dotAlgebraic and Geometric AnalysisAnalytic and geometric function theoryHolomorphic and Operator Theory