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20182026
most citedThe Bohr Phenomenon for analytic functions on simply connected domains

28 citations · 31 across the 80 of their papers we have counts for

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12 papers · 1 filter

math.CV2024

Pre-Schwarzian and Schwarzian norm Estimates for class of Ozaki Close-to-Convex functions

Molla Basir Ahamed, Rajesh Hossain

The primary objective of this paper is to derive sharp bounds for the norms of the Schwarzian and pre-Schwarzian derivatives in the Ozaki close-to-convex functions , expressed i…

math.CV2024

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…

math.CV2024

The Bohr radius for operator valued functions on simply connected domain

Sabir Ahammed, Molla Basir Ahamed

In this paper, we first establish an improved Bohr inequality for the class of operator-valued holomorphic functions on a simply connected domain in . Next, we…

math.CV2024

Refined Bohr inequalities and a refined Bohr-Rogosinski inequality on complex Banach spaces

Molla Basir Ahamed, Sabir Ahammed, Hidetaka Hamada

In this paper, we first establish refined versions of the Bohr inequalities for the class of holomorphic functions from the unit ball of a complex Banach space into $\mat…

math.CV2024

Sharp radius of concavity for certain classes of analytic functions

Molla Basir Ahamed, Rajesh Hossain

Let be the class of all analytic functions defined on the open unit disk with the normalization . This paper examines the rad…

math.CV2024

Sharp Bohr radius involving Schwarz functions for certain classes of analytic functions

Molla Basir Ahamed, Partha Pratim Roy

The Bohr radius for an arbitrary class of analytic functions of the form on the unit disk is…

math.CV2024

Radius of concavity for certain class of functions

Molla Basir Ahamed, Rajesh Hossain

Let be the class of all meromorphic univalent functions defined in the unit disc of the complex plane with a simple pole at and normalized…

math.CV2024

Bohr radius for invariant families of bounded analytic functions and certain Integral transforms

Molla Basir Ahamed, Partha Pratim Roy, Sabir Ahammed

In this paper, we first obtain a refined Bohr radius for invariant families of bounded analytic functions on unit disk . Then, we obtain Bohr inequality for certain i…

math.CV2024

The Bohr inequality on a simply connected domain and its applications

Sabir Ahammed, Molla Basir Ahamed, Partha Pratim Roy

In this article, we first establish a generalized Bohr inequality and examine its sharpness for a class of analytic functions in a simply connected domain where $0\leq γ…

math.CV2024

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…

math.CV2024

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…

math.CV2024

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…