2020/12/08 by Bshouty, Daoud, Evdoridis, Stavros, Rasila, Antti · 1 citation
#30C55 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2012.04340
In this paper we prove a Radó type result showing that there is no univalent polyharmonic mapping of the unit disk onto the whole complex plane. We also establish a connection between the boundary functions of harmonic and biharmonic mappings. Finally, we show how a close-to-convex biharmonic mapping can be constructed from a convex harmonic mapping.