28 citations · 31 across the 80 of their papers we have counts for
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Multidimensional analogues of the refined Bohr type inequalities
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk .We also prove two…
Growth, Distortion, Pre-Schwarzian and Schwarzian norm estimates for Generalized Robertson class
Molla Basir Ahamed, Rajesh Hossain
This paper investigates the geometric properties of functions within the generalized Robertson class which consists of alpha-starlike functions of order beta. The study's significa…
Multidimensional analogues of the improved Bohr's inequality
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar +1
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk . We also pro…
Bohr's theorem for Cesáro operator and certain integral transforms over octonions
Molla Basir Ahamed, Sabir Ahammed
In this paper, we first establish the Bohr's theorem for Cesáro operator defined for of slice regular functions in the open unit ball …
Pre-Schwarzian and Schwarzian norm Estimates for Robertson class
Molla Basir Ahamed, Rajesh Hossain, Xiaoyuan Wang
Let denote the class of analytic functions on the unit disk , normalized by and . For $-π/2<α<π/2…
Bohr phenomena for slice regular functions over Quaternions
Sabir Ahammed, Molla Basir Ahamed, Ming-Sheng Liu
Slice regular functions are a generalization of holomorphic functions to the setting of quaternions (and more generally, Clifford algebras). In this paper, we first establish the B…
Differential Operators, Multiple Schwarz Functions, and the Bohr Radius of Stable Harmonic Maps
Sujoy Majumder, Nabadwip Sarkar, Molla Basir Ahamed
In this paper, we study the Bohr phenomenon for differential operators and of stable harmonic mappings involving multiple Schwarz functions in , us…
Quasiconformal Extension of Meromorphic Functions with High-Order Poles
Molla Basir Ahamed, Partha Pratim Roy
In this paper, we study the class of meromorphic univalent functions in with a pole of order at , admitting a -quasicon…
On Coefficient problems for classes and
Sujoy Majumder, Nabadwip Sarkar, Molla Basir Ahamed
Logarithmic coefficients play a crucial role in the theory of univalent functions. In this study,we focus on the classes and of starlike and co…
A Unified Study of Bohr's Inequality for analytic and harmonic mappings on the Unit Disk
Molla Basir Ahamed, Partha Pratim Roy, Sujoy Majumder
We investigate improved forms of the Bohr inequality, using the quantity , for analytic selfmaps in class of , where is the area measure of $…
Bohr Phenomenon for -quasiconformal Harmonic Mappings Involving One Parameter
Molla Basir Ahamed, Taimur Rahman
In this article, we study Bohr-type inequalities involving a parameter or convex combinations for -quasiconformal, sense-preserving harmonic mappings in , where the…
The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces
Sabir Ahammed, Molla Basir Ahamed, Rajesh Hossain
In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we…
Bohr inequality and Bohr-Rogosinski inequality for -Quasiconformal harmonic mappings
Molla Basir Ahamed, Taimur Rahman
In this paper, we prove several sharp Bohr-type and Bohr-Rogosinski-type inequalities for -quasiconformal, sense-preserving harmonic mappings on , whose analytic par…
Improved and Refined Bohr-Type Inequalities for Slice Regular Functions over Octonions
Sabir Ahammed, Molla Basir Ahamed
A crucial extension of quaternionic function theory to octonions is the concept of slice regular functions, introduced to handle holomorphic-like properties in a non-associative se…
Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions
Molla Basir Ahamed, Rajesh Hossain, Sabir Ahammed
Let denote the class of analytic functions on the unit disc normalized by and . In the present a…
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…