Sushil Kumar

activity

20172020

collaborators

4 papers

math.CV2020

Sharp Bohr Radius Constants For Certain Analytic Functions

Swati Anand, Naveen Kumar Jain, Sushil Kumar

The Bohr radius for a class $G$ consisting of analytic functions $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ in unit disc $D = {z \in C : ∣ z ∣ < 1}$ is the largest $r^{*}$ …

math.CV2019

Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions

Adiba Naz, Sushil Kumar, V. Ravichandran

Ma-Minda class (of starlike functions) consists of all normalized analytic functions $f$ on the unit disk for which the image of $z f^{'} (z) / f (z)$ is contained in the some starlike reg…

math.CV2019

Differential Subordination for Janowski Functions with Positive Real Part

Swati Anand, Sushil Kumar, V. Ravichandran

Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition…

math.CV2017

First order differential subordination for functions with positive real part

O. P. Ahuja, Sushil Kumar, V. Ravichandran

Sharp estimates on $β$ are determined so that an analytic function $p$ defined on the open unit disk in the complex plane normalized by $p (0) = 1$ is subordinate to some well known s…