On the class of functions defined in a halfplane and starlike with respect to the boundary point
Volume 79 / 2002
Annales Polonici Mathematici 79 (2002), 67-83
MSC: Primary 30C45.
DOI: 10.4064/ap79-1-6
Abstract
The purpose of this paper is to study the class ${\cal S}_\infty ^*({\mathbb H})$ of univalent analytic functions defined in the right halfplane ${\mathbb H}$ and starlike w.r.t. the boundary point at infinity. An analytic characterization of functions in ${\cal S}_\infty ^*({\mathbb H})$ is presented.