37 papers
Second Hankel Determinant for -Spirallike Convex Mappings in Complex Banach Spaces
Molla Basir Ahamed, Nabadwip Sarkar, Pradip Das
We establish the bound for the second-order Hankel determinant associated with the class of normalized -spirallike…
The Bohr Phenomenon for Close-to-Convex Harmonic Mappings
Molla Basir Ahamed, Partha Pratim Roy
The classical Bohr inequality states that if is analytic and in the unit disk , then …
Sharp inequalities for Logarithmic Coefficients for Certain Classes of Univalent Functions
Sanju Mandal, Molla Basir Ahamed, PaweÅ Zaprawa
Let denote the class of functions that are analytic and univalent in the open unit disk $\mathbb{D} = \{z \in \mathbb{C} : |z…
On the Conjecture of C. C. Yang and periodicity of meromorphic functions
Molla Basir Ahamed
In this paper, we investigate two recent conjectures posed by Yang concerning the periodicity of entire functions. A portion of these problems was recently addressed by Qiong and P…
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…
Sharp Coefficient and Inverse Problems for Holomorphic Semigroup Generators
Sanju Mandal, Molla Basir Ahamed
In this paper, we study extremal problems for coefficient functionals associated with a distinguished subclass of holomorphic semigroup generators, denoted by ($0…