Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
arXiv:1108.5418 · doi:10.1016/j.amc.2011.12.033
Abstract
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
Cited by in corpus (14)
- A Cardioid Domain and Starlike Functions
- On the radius constants for classes of analytic functions
- Sufficiency for Nephroid Starlikeness using Hypergeometric Functions
- Radius of Starlikeness for Classes of Analytic Functions
- Radii of Starlikeness and Convexity of Bessel Functions
- Starlikeness for Certain Close-to-Star Functions
- Starlikeness of certain analytic functions
- Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions
- Starlikeness of Analytic Functions with Subordinate Ratios
- Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions
- Radius of starlikeness for some classes containing non-univalent functions
- Estimates for initial coefficients of certain bi-univalent functions
- Briot-Bouquet differential subordination and Bernardi's integral operator
- Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli