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

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

2011-08-27

arxiv.org/abs/1108.5418v1

Mathematics

Complex Variables

Scientific paper

10.1016/j.amc.2011.12.033

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

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