activity
20232026
collaborators

7 papers

math.CV2026

Bohr-Type Inequalities for Shifted Disks via Optimal -Embeddings

Molla Basir Ahamed, Vasudevarao Allu, Rajesh Hossain +1

The primary objective of this paper is to systematically generalize this phenomenon by replacing the standard unit disk with a family of nested, internally tangent shifted disks $Ω…

math.CV2026

Sharp Bohr-Type Inequalities Involving Euler Operator and Area Functionals on

Molla Basir Ahamed, Taimur Rahman

In this paper, we establish several higher-dimensional generalizations of refined Bohr-type inequalities for bounded holomorphic functions mapping into the unit polydisk $\mathbb{P…

math.CV2025

Bohr Phenomenon for -quasiconformal Harmonic Mappings Involving One Parameter

Molla Basir Ahamed, Taimur Rahman

In this article, we study Bohr-type inequalities involving a parameter or convex combinations for -quasiconformal, sense-preserving harmonic mappings in , where the…

math.CV2025

Bohr inequality and Bohr-Rogosinski inequality for -Quasiconformal harmonic mappings

Molla Basir Ahamed, Taimur Rahman

In this paper, we prove several sharp Bohr-type and Bohr-Rogosinski-type inequalities for -quasiconformal, sense-preserving harmonic mappings on , whose analytic par…

math.FA2023

Generalized weighted composition operators on Hardy space

Molla Basir Ahamed, Vasudevarao Allu, Taimur Rahman

In this paper, we explore the complex symmetrical characteristics of weighted composition operators and weighted composition-differentiation operators $W_{u, v, k_1, k_2…

math.FA2023

Complex symmetric weighted composition operators on the space

Molla Basir Ahamed, Taimur Rahman

In this paper, we introduce a new norm for , encompassing functions whose first and second derivatives belong to both the Hardy space $\mathcal{H}^2(\mat…

math.CV2023

Generalized weighted composition-differentiation operators on weighted Bergman spaces

Molla Basir Ahamed, Taimur Rahman

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