V. Arora

activity

20172022

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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…

math.CV2021

Initial successive coefficients for certain classes of univalent functions

Vibhuti Arora

We consider a family of all analytic and univalent functions in the unit disk of the form $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ . The aim of this article is to investigate the bounds of the…

math.CV2019

Successive coefficients for spirallike and related functions

Vibhuti Arora, Saminathan Ponnusamy, Swadesh Kumar Sahoo

We consider the family of all analytic and univalent functions in the unit disk of the form $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ . Our objective in this paper is to estimate the difference…

math.CV2017

Meromorphic functions with small Schwarzian derivative

Vibhuti Arora, Swadesh Kumar Sahoo

We consider the family of all meromorphic functions $f$ of the form $f (z) = \frac{1}{z} + b_{0} + b_{1} z + b_{2} z^{2} + \dots$ analytic and locally univalent in the puncture disk $\mathbb{D}_0:…