2023/12/21 by Ahumada, Vicente, Behm, Eduardo, Hernández, Rodrigo +1
#30C99 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30C45 #Secondary: 31C05
paper · doi:10.48550/arxiv.2312.13899
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 α>0, and starlike of order β>0, and establish the precise orders in terms of opening angle of the lens map.