UNIVALENT HARMONIC MAPPINGS INTO TWO-SLIT DOMAINS

ANDRZEJ GANCZAR, JAROSŁAW WIDOMSKI
2010 Journal of the Australian Mathematical Society  
We study some classes of planar harmonic mappings produced with the shear construction devised by Clunie and Sheil-Small in 1984. The first section reviews the basic concepts and describes the shear construction. The main body of the paper deals with the geometry of the classes constructed. 2000 Mathematics subject classification: primary 30C45.
doi:10.1017/s1446788709000391 fatcat:zd7yqkeb5jc7bcjyrkrqkstx7y