A. Rasila

Department of Mathematics and Systems Analysis‎, ‎Aalto University‎, ‎P‎.‎O‎. ‎Box 11100‎, ‎FI-00076 Aalto‎, ‎Finland.

[ 1 ] - Convex combinations of harmonic shears of slit mappings

‎In this paper‎, ‎we study the convex combinations of harmonic mappings obtained by shearing a class of slit conformal mappings‎. ‎Sufficient conditions for the convex combinations of harmonic mappings of this family to be univalent and convex in the horizontal direction are derived‎. ‎Several examples of univalent harmonic mappings constructed by using these methods are presented to illustrate...

نویسندگان همکار

L. Shi 1  

Y. Sun 1  

Z.-G. Wang 1