Partha Pratim Roy

collaborators

5 papers

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 $Σ^{(m)} (p)$ of meromorphic univalent functions $f$ in $D$ with a pole of order $m \geq 1$ at $p \in (0, 1)$ , admitting a $k$ -quasicon…

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 $S_{r} / π$ , for analytic selfmaps in class $B$ of $D$ , where $S_{r}$ is the area measure of $…

math.CV2024

Bohr radius for invariant families of bounded analytic functions and certain Integral transforms

Molla Basir Ahamed, Partha Pratim Roy, Sabir Ahammed

In this paper, we first obtain a refined Bohr radius for invariant families of bounded analytic functions on unit disk $D$ . Then, we obtain Bohr inequality for certain i…

math.CV2024

The Bohr inequality on a simply connected domain and its applications

Sabir Ahammed, Molla Basir Ahamed, Partha Pratim Roy

In this article, we first establish a generalized Bohr inequality and examine its sharpness for a class of analytic functions $f$ in a simply connected domain $Ω_{γ},$ where $0\leq γ…