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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.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…