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16 papers
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…
Normality criterion for logharmonic mapping
Molla Basir Ahamed, Sanju Mandal
In this paper, we present several necessary and sufficient conditions for a logharmonic mapping to be normal i.e., we establish Marty's criterion, Zalcman-Pang lemma and the Lohwat…
Results on Logarithmic Coefficients for the Class of Bounded Turning Functions
Sanju Mandal, Molla Basir Ahamed
It is crucial to explore the sharp bounds of logarithmic coefficients and the Hankel determinant involving logarithmic coefficients as part of coefficient problems in various funct…
Coefficient bounds for starlike functions associated with Gregory coefficients
Molla Basir Ahamed, Sanju Mandal
It is of interest to know the sharp bounds of the Hankel determinant, Zalcman functionals, Fekete-Szeg inequality as a part of coefficient problems for different classe…
Existence of Solutions to Systems of General Quadratic Functional Equations in
Molla Basir Ahamed, Sanju Mandal
The main objective of this study is to investigate the existence and forms of solutions of systems of general quadratic functional equations in . By utilizing Nevanli…
Hankel and Toeplitz determinants of logarithmic coefficients of Inverse functions for certain classes of univalent functions
Sanju Mandal, Partha Pratim Roy, Molla Basir Ahamed
The Hankel and Toeplitz determinants and are defined as: \begin{align*} H_{2,1}(F_{f^{-1}}/2):= \begin{vmatrix} Γ_1 & Γ_2 Γ_2 & Γ_3…
Second Hankel determinant of logarithmic coefficients of inverse functions in certain classes of univalent functions
Sanju Mandal, Molla Basir Ahamed
The Hankel determinant of logarithmic coefficients is defined as: \begin{align*} H_{2,1}(F_{f^{-1}}/2):= \begin{vmatrix} Γ_1 & Γ_2 Γ_2 & Γ_3 \end{vmatrix}=Γ…
Entire Solutions for quadratic trinomial-type partial differential-difference equations in
Sanju Mandal, Molla Basir Ahamed
In this paper, utilizing Nevanlinna theory, we study existence and forms of the entire solutions of the quadratic trinomial-type partial differential-difference equations in…
Characterization of solutions of refined Fermat-type functional equations in
Molla Basir Ahamed, Sanju Mandal
The main purpose of this article is concerned with the existence and the precise forms of the transcendental solutions of several refined versions of Fermat-type functional equatio…
Second Hankel determinant of Logarithmic coefficients for Starlike and Convex functions associated with lune
Sanju Mandal, Molla Basir Ahamed
The Hankel determinant is defined as: \begin{align*} H_{2,1}(F_{f}/2):= \begin{vmatrix} γ_1 & γ_2 γ_2 & γ_3 \end{vmatrix}, \end{align*} where and $γ_…
Sharp bounds for second Hankel determinant of logarithmic coefficients for certain classes of univalent functions
Sanju Mandal, Partha Pratim Roy, Molla Basir Ahamed
The Hankel determinant is defined as: \begin{align*} H_{2,2}(F_{f}/2):= \begin{vmatrix} γ_2 & γ_3 γ_3 & γ_4 \end{vmatrix}, \end{align*} where and $γ_…
Transcendental entire solutions of several general quadratic type PDEs and PDDEs in
Molla Basir Ahamed, Sanju Mandal
The functional equations and are respectively called Fermat-type binomial and trinomial equations. It is of interest to know about the existence an…