M. B. Ahamed

activity

20182026

most citedThe Bohr Phenomenon for analytic functions on simply connected domains

28 citations · 31 across the 80 of their papers we have counts for

collaborators

85 papers

math.CV2026

Growth, Distortion, and Schwarzian Norm Estimates for Exponentially Convex Functions

Molla Basir Ahamed, Rajesh Hossain

In this paper, we investigate the growth, distortion, pre-Schwarzian and Schwarzian norms of functions in the exponentially convex class $\mathcal C_{e^λ}$, $0<λ\leπ/2$, define…

math.CV2026

Hölder Continuity and Boundedness of Composition Operators on Pluriharmonic $α$ -Bloch Spaces

Molla Basir Ahamed, Vasudevarao Allu

In this paper, we study the metric properties of pluriharmonic $α$ -Bloch-type mappings $f = h + g \in H (B^{n}, C^{n})$ on the unit ball $\mathbb{B}^…

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 $\sum_{n = 0}^{\infty} ∣ a_{n} ∣ r^{n} \leq 1$ …

math.CV2026

Sharp inequalities for Logarithmic Coefficients for Certain Classes of Univalent Functions

Sanju Mandal, Molla Basir Ahamed, Paweł Zaprawa

Let $S$ denote the class of functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ that are analytic and univalent in the open unit disk $\mathbb{D} = \{z \in \mathbb{C} : |z…

math.CV2026

On the Conjecture of C. C. Yang and periodicity of meromorphic functions

Molla Basir Ahamed

In this paper, we investigate two recent conjectures posed by Yang concerning the periodicity of entire functions. A portion of these problems was recently addressed by Qiong and P…

math.CV2026

Bohr, Bohr-Rogosinski, and Landau-Type Results for a Generalized Class of Harmonic Mappings

Xiaoyuan Wang, Xintong Han, Rajesh Hossain +1

In this paper, we study the Bohr phenomenon for a generalized subclass of harmonic mappings defined by a second-order differential inequality in the unit disk. Specifically, we con…

math.CV2026

Sharp Coefficient and Inverse Problems for Holomorphic Semigroup Generators

Sanju Mandal, Molla Basir Ahamed

In this paper, we study extremal problems for coefficient functionals associated with a distinguished subclass of holomorphic semigroup generators, denoted by $A_{β}$ ($0 \…

math.CV2026

Bohr Radius and Landau-type Theorems for Harmonic Mappings with Boundary Functions in Lebesgue Spaces

Molla Basir Ahamed, Rajesh Hossain

This paper investigates the geometric and analytical properties of harmonic mappings $f$ in the unit disk $D$ induced by boundary functions $F$ belonging to the Lebesgue s…

math.CV2026

Meromorphic Solutions of Difference Equations Involving Borel and Nevanlinna Exceptional Values

Molla Basir Ahamed, Vasudevarao Allu

The existence of meromorphic solutions to various difference equations has been extensively studied in recent years, the precise functional forms of such solutions -- particularly…

math.CV2026

Sharp Landau-Type Theorems and Schlicht Disc Radii for certain Subclasses of Harmonic Mappings

Molla Basir Ahamed, Rajesh Hossain

Let $H$ be the class of all complex-valued harmonic mappings $f = h + g$ defined on the unit disc $D = {z \in C : ∣ z ∣ < 1}$ with the normalization $h(0…

math.CV2026

Coefficient estimates and Bohr phenomenon for analytic functions involving semigroup generator

Molla Basir Ahamed, Sanju Mandal

This article investigates the Bohr phenomenon and sharp coefficient problems for the class $A_{β}$ , a subclass of analytic self-maps of the unit disk with the holomorphic g…

math.CV2026

Sharp Estimates of Logarithmic Coefficients for a Certain Class of Starlike Functions

Molla Basir Ahamed, Sanju Mandal

In this article, we investigate the extremal properties of logarithmic coefficients for the class $S_{c h}^{*}$ of starlike functions associated with the hyperbolic cosine f…

math.CV2026

Sharp Bohr Radii for Schwarz Functions and Directional derivative Operators in \mathbb{C}^n

Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik

This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc $\mathbb{P}Δ(0;1_n)…

math.CV2026

Normality Criteria for Differential Monomials and the Sharpness of Lappan-type Theorems

Molla Basir Ahamed, Sanju Mandal, Nguyen Van Thin

A fundamental result of Lappan [Comment. Math. Helv. \textbf{49} (1974), 492-495.] states that a meromorphic function $f$ in the unit disk $D$ is normal if and only if its…

math.CV2026

On Stable Univalence and Coefficient Estimates for a Class of Pluriharmonic Mappings in Convex Reinhardt Domains

Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik

In this paper, we investigate the geometric properties of complex-valued pluriharmonic mappings defined over convex Reinhardt domains in $C^{n}$ . We first establish a multid…

math.CV2026

Value Distribution and Picard-type Theorems for Total Differential Polynomials in $C^{n}$

Molla Basir Ahamed, Vasudevarao Allu

This paper investigates the value distribution and growth properties of linear total differential polynomials $L_{k} [D] f$ for meromorphic functions in several complex varia…

math.CV2026

Geometric subfamily of locally univalent functions, Blaschke products and quasidisk

Molla Basir Ahamed, Rajesh Hossain

In this article, we consider the family $F (α)$ defined for $α \in (0, 3]$ by \begin{align*} {\rm Re}\left(1+\frac{zf''(z)}{f'(z)}\right) > 1 - \fracα{2} \quad \text{for }…

math.CV2026

Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n

Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar

This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc $D^{n}$ . We…

math.CV2025

Multidimensional analogues of the refined Bohr type inequalities

Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar

The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk $D^{n}$ .We also prove two…

Growth, Distortion, and Schwarzian Norm Estimates for Exponentially Convex Functions

Hölder Continuity and Boundedness of Composition Operators on Pluriharmonic α-Bloch Spaces

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

Sharp inequalities for Logarithmic Coefficients for Certain Classes of Univalent Functions

On the Conjecture of C. C. Yang and periodicity of meromorphic functions

Bohr, Bohr-Rogosinski, and Landau-Type Results for a Generalized Class of Harmonic Mappings

Sharp Coefficient and Inverse Problems for Holomorphic Semigroup Generators

Bohr Radius and Landau-type Theorems for Harmonic Mappings with Boundary Functions in Lebesgue Spaces

Meromorphic Solutions of Difference Equations Involving Borel and Nevanlinna Exceptional Values

Sharp Landau-Type Theorems and Schlicht Disc Radii for certain Subclasses of Harmonic Mappings

Coefficient estimates and Bohr phenomenon for analytic functions involving semigroup generator

Sharp Estimates of Logarithmic Coefficients for a Certain Class of Starlike Functions

Sharp Bohr Radii for Schwarz Functions and Directional derivative Operators in \mathbb{C}^n

Normality Criteria for Differential Monomials and the Sharpness of Lappan-type Theorems

On Stable Univalence and Coefficient Estimates for a Class of Pluriharmonic Mappings in Convex Reinhardt Domains

Value Distribution and Picard-type Theorems for Total Differential Polynomials in Cn

Geometric subfamily of locally univalent functions, Blaschke products and quasidisk

Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n

Multidimensional analogues of the refined Bohr type inequalities

Hölder Continuity and Boundedness of Composition Operators on Pluriharmonic $α$ -Bloch Spaces

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

Value Distribution and Picard-type Theorems for Total Differential Polynomials in $C^{n}$