6 papers
Bohr's theorem for Cesáro operator and certain integral transforms over octonions
Molla Basir Ahamed, Sabir Ahammed
In this paper, we first establish the Bohr's theorem for Cesáro operator defined for of slice regular functions in the open unit ball …
Bohr phenomena for slice regular functions over Quaternions
Sabir Ahammed, Molla Basir Ahamed, Ming-Sheng Liu
Slice regular functions are a generalization of holomorphic functions to the setting of quaternions (and more generally, Clifford algebras). In this paper, we first establish the B…
The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces
Sabir Ahammed, Molla Basir Ahamed, Rajesh Hossain
In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we…
Improved and Refined Bohr-Type Inequalities for Slice Regular Functions over Octonions
Sabir Ahammed, Molla Basir Ahamed
A crucial extension of quaternionic function theory to octonions is the concept of slice regular functions, introduced to handle holomorphic-like properties in a non-associative se…
Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions
Molla Basir Ahamed, Rajesh Hossain, Sabir Ahammed
Let denote the class of analytic functions on the unit disc normalized by and . In the present a…
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…