7 papers · 1 filter
Growth, Distortion, and Schwarzian Norm Estimates for Exponentially Convex Functions
Molla Basir Ahamed, Rajesh Hossain
In this paper, we investigate the growth, distortion, pre-Schwarzian and Schwarzian norms of functions in the exponentially convex class \(\mathcal C_{e^λ}\), \(0<λ\leπ/2\), define…
Schwarzian norm estimates for some classes of analytic and harmonic mappings
Molla Basir Ahamed, Rajesh Hossain
Let be the normalized class of analytic functions in the unit disc . For , let de…
Bohr-Type Inequalities for Shifted Disks via Optimal -Embeddings
Molla Basir Ahamed, Vasudevarao Allu, Rajesh Hossain +1
The primary objective of this paper is to systematically generalize this phenomenon by replacing the standard unit disk with a family of nested, internally tangent shifted disks $Ω…
Bohr, Bohr-Rogosinski, and Landau-Type Results for a Generalized Class of Harmonic Mappings
Xiaoyuan Wang, Xintong Han, Rajesh Hossain +1
In this paper, we study the Bohr phenomenon for a generalized subclass of harmonic mappings defined by a second-order differential inequality in the unit disk. Specifically, we con…
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 }…