V. Allu

activity

20192022

most citedOn a class of univalent functions defined by a differential inequality

2 citations · 6 across the 18 of their papers we have counts for

collaborators

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18 papers · 1 filter

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 $f (z) = h + g$ in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ , where $ h(z)=\sum_{n=0}^{\infty…

math.CV2022

Proof of The Generalized Zalcman Conjecture for Initial Coefficients of Univalent Functions

Vasudevarao Allu, Abhishek Pandey

Let $S$ denote the class of analytic and univalent ({\it i.e.}, one-to-one) functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:…

math.CV2022

Support points of some classes of analytic and univalent functions

Vasudevarao Allu, Abhishek Pandey

Let $A$ denote the class of analytic functions in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ satisfying $f (0) = 0$ and $f^{'} (0) = 1$ . Let $U$ be the class o…

math.CV2022

Region of variability for certain subclass of univalent functions

Jnana Preeti Parlapalli, Vasudevarao Allu

Let $D := {z \in C : ∣ z ∣ < 1}$ be the unit disk. For $0 < α < 1$ , let $f_{α} (z) = z / (1 - z^{α})$ for $z \in D$ . We consider the class $F$ of analytic functions…

math.CV2022

Bohr-Rogosinski type inequalities for concave univalent functions

Vasudevarao Allu, Vibhuti Arora

In this paper, we generalize and investigate Bohr-Rogosinski's inequalities and the Bohr-Rogosinski phenomenon for the subfamilies of univalent (i.e., one-to-one) functions defined…

math.CV2021

Initial Successive coefficients of Inverse functions of certain classes of univalent functions

Vasudevarao Allu, Vibhuti Arora

We consider functions of the type $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ from a family of all analytic and univalent functions in the unit disk. Let $F$ be the inverse function of $f$ , give…