9 papers · 1 filter
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 in the unit disk induced by boundary functions belonging to the Lebesgue s…
Sharp Landau-Type Theorems and Schlicht Disc Radii for certain Subclasses of Harmonic Mappings
Molla Basir Ahamed, Rajesh Hossain
Let be the class of all complex-valued harmonic mappings defined on the unit disc with the normalization $h(0…
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…