Rajesh Hossain

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20242026

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math.CV2025

Growth, Distortion, Pre-Schwarzian and Schwarzian norm estimates for Generalized Robertson class

Molla Basir Ahamed, Rajesh Hossain

This paper investigates the geometric properties of functions within the generalized Robertson class which consists of alpha-starlike functions of order beta. The study's significa…

math.CV2025

Pre-Schwarzian and Schwarzian norm Estimates for Robertson class

Molla Basir Ahamed, Rajesh Hossain, Xiaoyuan Wang

Let $A$ denote the class of analytic functions $f$ on the unit disk $D = {z \in C : ∣ z ∣ < 1}$ , normalized by $f (0) = 0$ and $f^{'} (0) = 1$ . For $-π/2<α<π/2…

math.CV2025

The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

Sabir Ahammed, Molla Basir Ahamed, Rajesh Hossain

In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we…

math.CV2025

Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions

Molla Basir Ahamed, Rajesh Hossain, Sabir Ahammed

Let $A$ denote the class of analytic functions $f$ on the unit disc $D = {z \in C : ∣ z ∣ < 1}$ normalized by $f (0) = 0$ and $f^{'} (0) = 1$ . In the present a…