V. Allu

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

2 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.CV2020★ 2 cited

On a class of univalent functions defined by a differential inequality

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

For $0 < λ \leq 1$ , let $U (λ)$ be the class analytic functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in the unit disk $D$ satisfying $∣ f^{'} (z) (z / f (z))^{2} - 1∣ < λ$ and $\mat…

math.CV2020★ 1 cited

An application of Schur algorithm to variability regions of certain analytic functions-II

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

We continue our study on variability regions in \cite{Ali-Vasudevarao-Yanagihara-2018}, where the authors determined the region of variability $V_Ω^j (z_0, c ) = \{ \int_0^{z_0} z^…

math.CV2020

Bohr radius for certain classes of starlike and convex univalent functions

Vasudevarao Allu, Himadri Halder

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

math.CV2020

Bohr phenomenon for certain Subclasses of Harmonic Mappings

Vasudevarao Allu, Himadri Halder

The Bohr phenomenon for analytic functions of the form $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ , first introduced by Harald Bohr in 1914, deals with finding the largest radius $r_{f}$ …

math.CV2020★ 1 cited

Zalcman Conjecture for certain analytic and univalent functions

Vasudevarao Allu, Abhishek Pandey

Let $A$ denote the class of analytic functions in the unit disk $D$ of the form $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ and $S$ denote the class of functi…

math.CV2019

An application of the Schur algorithm to variability regions of certain analytic functions

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

Let $Ω$ be a convex domain in the complex plane $C$ with $Ω \neq = C$ , and $P$ be a conformal map of the unit disk $D$ onto $Ω$ . Let $F_{Ω}$ be…