10 papers · 1 filter
Revisiting Bohr Inequalities with Analytic and Harmonic Mappings on unit disk
Molla Basir Ahamed, Partha Pratim Roy
In this paper, we study some improved and refined versions of the classical Bohr inequality applicable to the class , which consists of self-analytic mappings defined…
Bohr inequalities via proper combinations for a certain class of close-to-convex harmonic mappings
Molla Basir Ahamed, Partha Pratim Roy
Let be the class of complex-valued functions harmonic in and each , where and are analytic…
Operator-valued analogues of multidimensional Bohr-Rogosinski inequalities
Sabir Ahammed, Molla Basir Ahamed
In this article, we first establish operator-valued analogues of multidimensional refined Bohr inequality. Then we establish operator-valued analogues of multidimensional improved…
Generalized weighted composition-differentiation operators on weighted Bergman spaces
Molla Basir Ahamed, Taimur Rahman
Let be the class of all holomorphic functions in the unit disk . We aim to explore the complex symmetry exhibited by generalized weighted…
Generalized Bohr inequalities for certain classes of functions and their applications
Molla Basir Ahamed
Let $ \mathcal{B}:=\{f(z)=\sum_{n=0}^{\infty}a_nz^n\; \mbox{with}\; |f(z)|<1\;\mbox{for all}\; z\in\mathbb{D}\} $. The improved version of the classical Bohr's inequality \cite{Boh…
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…