Partha Pratim Roy

activity

20242026

collaborators

8 papers

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

Moduli difference of initial inverse logarithmic coefficients for starlike and convex functions

Molla Basir Aahmed, Partha Pratim Roy

Let $A$ denote the class of functions $f$ that are analytic in the open unit disk $D$ and satisfy the normalization conditions $f (0) = 0$ and $f^{'} (0) = 1$ . This p…

math.CV2025

Bohr-Rogosinski Inequalities for bounded analytic functions

Molla Basir Aahmed, Partha Pratim Roy

In this article, we analyze refined and improved versions of the classical Bohr inequality for the function class $B$ , which consists of analytic self-mappings defined on…

math.CV2025

Quasiconformal Extension of Meromorphic Functions with High-Order Poles

Molla Basir Ahamed, Partha Pratim Roy

In this paper, we study the class $I^£^{(m)} (p)$ of meromorphic univalent functions $f$ in $D$ with a pole of order $m \geq 1$ at $p \in (0, 1)$ , admitting a $k$ -quasico…

math.CV2025

A Unified Study of Bohr's Inequality for analytic and harmonic mappings on the Unit Disk

Molla Basir Ahamed, Partha Pratim Roy, Sujoy Majumder

We investigate improved forms of the Bohr inequality, using the quantity $S_{r} / I ¨ $ , for analytic selfmaps in class $B$ of $D$ , where $S_{r}$ is the area measure of…

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…