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20182024
most citedBohr inequalities for unimodular bounded functions on simply connected domains

1 citations · 2 across the 19 of their papers we have counts for

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20 papers

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

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.FA2023

Complex symmetric weighted composition operators on the space

Molla Basir Ahamed, Taimur Rahman

In this paper, we introduce a new norm for , encompassing functions whose first and second derivatives belong to both the Hardy space $\mathcal{H}^2(\mat…

math.CV2022

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…

math.CV2022

Improved Bohr inequalities for certain classes of harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu

The Bohr radius for the class of harmonic functions of the form in the unit disk , where $ h(z)=\sum_{n=0}^{\infty…