V. Allu

activity

20102026

most citedThe Bohr Phenomenon for analytic functions on simply connected domains

28 citations · 90 across the 74 of their papers we have counts for

collaborators

Showing 2020Show all

11 papers · 1 filter

math.CV2020

Improved Bohr inequalities for certain class of harmonic univalent functions

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

Let $H$ be the class of complex-valued harmonic mappings $f = h + g ˉ$ defined in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ , where $h$ and $g$ are…

math.CV2020

Bohr radius for certain close-to-convex harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder

Let $H$ be the class of harmonic functions $f = h + g ˉ$ in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ , where $h$ and $g$ 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 $H (D)$ be the class of analytic functions in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ . 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★ 1 cited

Bohr phenomenon for certain close-to-convex analytic functions

Vasudevarao Allu, Himadri Halder

We say that a class $B$ of analytic functions $f$ of the form $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ satisfies a…

math.CV2020★ 5 cited

The Bohr inequality for certain harmonic mappings

Vasudevarao Allu, Himadri Halder

Let $ϕ$ be analytic and univalent ({\it i.e.,} one-to-one) in $D := {z \in C : ∣ z ∣ < 1}$ such that $ϕ (D)$ has positive real part, is symmetric with respect to…