4 papers · 1 filter
The Bohr radius for operator valued functions on simply connected domain
Sabir Ahammed, Molla Basir Ahamed
In this paper, we first establish an improved Bohr inequality for the class of operator-valued holomorphic functions on a simply connected domain in . Next, we…
Refined Bohr inequalities and a refined Bohr-Rogosinski inequality on complex Banach spaces
Molla Basir Ahamed, Sabir Ahammed, Hidetaka Hamada
In this paper, we first establish refined versions of the Bohr inequalities for the class of holomorphic functions from the unit ball of a complex Banach space into $\mat…
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…