arXiv subjects

Naveen Jain

Publications and source records attributed to Naveen Jain.

2 recordsLinked to original sources

arXiv2012

On the radius constants for classes of analytic functions

Radius constants for several classes of analytic functions on the unit disk are obtained. These include the radius of starlikeness of a positive order, radius of parabolic starlikeness, radius of Bernoulli lemniscate starlikeness, and radius of uniform convexity. In the main, the radius constants obtained are sharp. Conjectures on the non-sharp constants are given.

math.CV↗

arXiv2011

Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane

A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-radii for certain well-known classes of functions are obtained. Radius problems associated with the left-half plane are also investigated for these classes

math.CV↗