5 papers · 1 filter
Sharp Bohr radius involving Schwarz functions for certain classes of analytic functions
Molla Basir Ahamed, Partha Pratim Roy
The Bohr radius for an arbitrary class of analytic functions of the form on the unit disk is…
Bohr radius for invariant families of bounded analytic functions and certain Integral transforms
Molla Basir Ahamed, Partha Pratim Roy, Sabir Ahammed
In this paper, we first obtain a refined Bohr radius for invariant families of bounded analytic functions on unit disk . Then, we obtain Bohr inequality for certain i…
The Bohr inequality on a simply connected domain and its applications
Sabir Ahammed, Molla Basir Ahamed, Partha Pratim Roy
In this article, we first establish a generalized Bohr inequality and examine its sharpness for a class of analytic functions in a simply connected domain where $0\leq γ…
Revisiting Bohr Inequalities with Analytic and Harmonic Mappings on unit disk
Molla Basir Ahamed, Partha Pratim Roy
In this paper, we study some improved and refined versions of the classical Bohr inequality applicable to the class , which consists of self-analytic mappings defined…
Bohr inequalities via proper combinations for a certain class of close-to-convex harmonic mappings
Molla Basir Ahamed, Partha Pratim Roy
Let be the class of complex-valued functions harmonic in and each , where and are analytic…