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Sharp inequalities for Logarithmic Coefficients for Certain Classes of Univalent Functions
Sanju Mandal, Molla Basir Ahamed, Paweł Zaprawa
Let denote the class of functions that are analytic and univalent in the open unit disk $\mathbb{D} = \{z \in \mathbb{C} : |z…
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 \…
Coefficient estimates and Bohr phenomenon for analytic functions involving semigroup generator
Molla Basir Ahamed, Sanju Mandal
This article investigates the Bohr phenomenon and sharp coefficient problems for the class , a subclass of analytic self-maps of the unit disk with the holomorphic g…
Sharp Estimates of Logarithmic Coefficients for a Certain Class of Starlike Functions
Molla Basir Ahamed, Sanju Mandal
In this article, we investigate the extremal properties of logarithmic coefficients for the class of starlike functions associated with the hyperbolic cosine f…
Normality Criteria for Differential Monomials and the Sharpness of Lappan-type Theorems
Molla Basir Ahamed, Sanju Mandal, Nguyen Van Thin
A fundamental result of Lappan [Comment. Math. Helv. \textbf{49} (1974), 492-495.] states that a meromorphic function in the unit disk is normal if and only if its…