M. B. Ahamed

activity

20182026

most citedImproved Bohr radius for the class of starlike log-harmonic mappings

1 citations · 2 across the 68 of their papers we have counts for

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79 papers · 1 filter

math.CV2026

Sharp Bohr and Bohr-Rogosinski inequalities involving area measure for close-to-convex harmonic mappings

Molla Basir Ahamed, Partha Pratim Roy

In this article, we investigate refined and generalized versions of the Bohr and Bohr--Rogosinski inequalities for a normalized subclass $P_{H}^{0} (α)$ ($0 \le…

math.CV2026

Schwarzian norm estimates for some classes of analytic and harmonic mappings

Molla Basir Ahamed, Rajesh Hossain

Let $A$ be the normalized class of analytic functions $f$ in the unit disc $D := {z \in C : ∣ z ∣ < 1}$ . For $β > 1$ , let $N (β)$ de…

math.CV2026

Bohr-Type Inequalities for Shifted Disks via Optimal $H^{2}$ -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 $P Δ (0; 1_{n})$

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.CV2026

Second Hankel Determinant for $β$ -Spirallike Convex Mappings in Complex Banach Spaces

Molla Basir Ahamed, Nabadwip Sarkar, Pradip Das

We establish the bound for the second-order Hankel determinant $H_{2, 2} (F) = A_{2} A_{4} - A_{3}^{2}$ associated with the class $C_{B}^{β} (B)$ of normalized $β$ -spirallike…

math.CV2026

The Bohr Phenomenon for Close-to-Convex Harmonic Mappings

Molla Basir Ahamed, Partha Pratim Roy

The classical Bohr inequality states that if $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ is analytic and $∣ f (z) ∣ < 1$ in the unit disk $D$ , then $\sum_{n = 0}^{\infty} ∣ a_{n} ∣ r^{n} \leq 1$ …

Sharp Bohr and Bohr-Rogosinski inequalities involving area measure for close-to-convex harmonic mappings

Schwarzian norm estimates for some classes of analytic and harmonic mappings

Bohr-Type Inequalities for Shifted Disks via Optimal H2-Embeddings

Sharp Bohr-Type Inequalities Involving Euler Operator and Area Functionals on PΔ(0;1n​)

Second Hankel Determinant for β-Spirallike Convex Mappings in Complex Banach Spaces

The Bohr Phenomenon for Close-to-Convex Harmonic Mappings

Bohr-Type Inequalities for Shifted Disks via Optimal $H^{2}$ -Embeddings

Sharp Bohr-Type Inequalities Involving Euler Operator and Area Functionals on $P Δ (0; 1_{n})$

Second Hankel Determinant for $β$ -Spirallike Convex Mappings in Complex Banach Spaces