학술논문

On the Conformal Lens Map
Document Type
Working Paper
Source
Subject
Mathematics - Complex Variables
Primary: 30C45, 30C99, Secondary: 31C05
Language
Abstract
It is well-known that lens maps are convex mappings defined in the unit disc to itself. In this brief note, we show that these mappings are convex of order $\alpha>0$, and starlike of order $\beta>0$, and establish the precise orders in terms of opening angle of the lens map.