Molla Basir Ahamed

collaborators

12 papers

math.CV2024

Sharp radius of concavity for certain classes of analytic functions

Molla Basir Ahamed, Rajesh Hossain

Let $A$ be the class of all analytic functions $f$ defined on the open unit disk $D$ with the normalization $f (0) = 0 = f^{'} (0) - 1$ . This paper examines the rad…

math.CV2024

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 $F$ of analytic functions of the form $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ on the unit disk $D = {z \in C : ∣ z ∣ < 1}$ is…

math.CV2024

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 $B$ , which consists of self-analytic mappings defined…

math.CV2024

Bohr inequalities via proper combinations for a certain class of close-to-convex harmonic mappings

Molla Basir Ahamed, Partha Pratim Roy

Let $H (Ω)$ be the class of complex-valued functions harmonic in $Ω \subset C$ and each $f = h + g \in H (Ω)$ , where $h$ and $g$ are analytic…

math.CV2023

Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities

Sabir Ahammed, Molla Basir Ahamed

In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved…

math.CV2023

Generalized weighted composition-differentiation operators on weighted Bergman spaces

Molla Basir Ahamed, Taimur Rahman

Let $H (D)$ be the class of all holomorphic functions in the unit disk $D$ . We aim to explore the complex symmetry exhibited by generalized weighted…