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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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Showing 2020Show all

9 papers · 1 filter

math.CV2020

Improved Bohr inequalities for certain class of harmonic univalent functions

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

Let be the class of complex-valued harmonic mappings defined in the unit disk , where and are…

math.CV2020

Bohr radius for certain close-to-convex harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

Let be the class of harmonic functions in the unit disk , where and are analytic in $ \mathbb{D}…

math.CV2020★ 1 cited

Bohr inequalities for unimodular bounded functions on simply connected domains

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

Let be the class of analytic functions in the unit disk . The classical Bohr's inequality states that if a p…

math.CV2020★ 28 cited

The Bohr Phenomenon for analytic functions on simply connected domains

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \begin{equation*} Ω_γ=\bigg\{z\in\mathbb{C} : \bigg|z+\…

math.CV2020

Uniqueness of and concerning weakly weighted sharing

Molla Basir Ahamed

In this paper, with the help of the idea of weakly weighted sharing introduced by \emph{Lin -Lin} [Kodai Math. J., 29(2006), 269-280], we study the uniqueness of a polynomial expre…

math.CV2020

A note on entire functions sharing a finite set with applications to difference equations

Molla Basir Ahamed

Value distribution and uniqueness problems of difference operator of an entire function have been investigated in this article. This research shows that a finite ordered entire fun…

math.CV2020

Bohr phenomenon for certain Subclasses of Harmonic Mappings

Vasudevarao Allu, Himadri Halder

The Bohr phenomenon for analytic functions of the form , first introduced by Harald Bohr in 1914, deals with finding the largest radius …

math.CV2020

On uniqueness of two meromorphic functions sharing three sets with finite weights

Molla Basir Ahamed

With the help of the notion of weighted sharing of sets, this paper dealt with the question posed by \emph{Yi} \cite{Yi-SC-1994} regarding the uniqueness of meromorphic functions c…

math.CV2020

Set shared by an entire function with its -th derivatives using normal families

Molla Basir Ahamed

In this paper, we study a problem of non-constant entire function that shares a set with its -th derivative , where and $ c…