6 papers
Geometric subfamily of locally univalent functions, Blaschke products and quasidisk
Molla Basir Ahamed, Rajesh Hossain
In this article, we consider the family defined for by \begin{align*} {\rm Re}\left(1+\frac{zf''(z)}{f'(z)}\right) > 1 - \fracα{2} \quad \text{for }…
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…
Pre-Schwarzian and Schwarzian norm Estimates for Robertson class
Molla Basir Ahamed, Rajesh Hossain, Xiaoyuan Wang
Let denote the class of analytic functions on the unit disk , normalized by and . For $-π/2<α<π/2…
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…
Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions
Molla Basir Ahamed, Rajesh Hossain, Sabir Ahammed
Let denote the class of analytic functions on the unit disc normalized by and . In the present a…
Pre-Schwarzian and Schwarzian norm Estimates for class of Ozaki Close-to-Convex functions
Molla Basir Ahamed, Rajesh Hossain
The primary objective of this paper is to derive sharp bounds for the norms of the Schwarzian and pre-Schwarzian derivatives in the Ozaki close-to-convex functions , expressed i…